{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import warnings\n",
    "warnings.filterwarnings(action = 'ignore')\n",
    "%matplotlib inline\n",
    "plt.rcParams['font.sans-serif']=['SimHei']  #解决中文显示乱码问题\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "import sklearn.linear_model as LM\n",
    "from sklearn.metrics import classification_report\n",
    "from sklearn.model_selection import cross_val_score,train_test_split\n",
    "from sklearn.datasets import make_regression\n",
    "from sklearn import tree\n",
    "from sklearn.preprocessing import LabelEncoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x27af0e7aa08>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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1aMFZ5f/KX0vlrx39VdlgFIpWgd4rWSKlrJ03X1f5gUCm1FNm6ijTS0r5R13bbYkQom19tjewrxfaal3FzWxWU2yo135R82GqCoVC4TA4mz9qKkIIt8ZqY2HfNkCZrPUjVh8VdKler9Ae3dBemi8c0qIof61oCVRgp1AoFAqFQqFQKBQOjppjp1AoFAqFQqFQKBQOjgrsFAqFQqFQKBQKhcLBcajHHXTu3FkGBQVdUh2lpaW0aXOpiz61LpQm5ihNzFGaWEbpYk5zaJKQkHBGStmlmUxq9Sj/aD2ULuYoTcxRmpijNDGnuTSpy0c6VGAXFBREfHx8wwXrYdOmTUyYMKF5DGolKE3MUZqYozSxjNLFnObQRAjRKhaIaCmUf7QeShdzlCbmKE3MUZqY01ya1OUjVSqmQqFQKBQKhUKhUDg4KrBTKBQKhUKhUCgUCgdHBXYKhUKhUCgUCoVC4eA41By75iA8PNzWJtgdShNzlCbmKE0sY0mXsrIysrKyKCkpsYFFtqdLly7s27evUWU9PDwIDAzEzc3NylYpGkJd45ZRupijNDFHaWJOXZo4s49sin+EpvtIpwvsCgoK6NSpk63NsCuUJuYoTcxRmljGki5ZWVl4e3sTFBSEEMJGltkOo9GIu7t7g+WklOTk5JCVlUVwcHALWKaoD3WNW0bpYo7SxByliTl1aeLMPrKx/hEuzkc6XSqmh4eHrU2wO5Qm5ihNzFGaWMaSLiUlJfj6+jqdw6rExaVxrkUIga+vr1P22toj6hq3jNLFHKWJOUoTc+rSxJl9ZGP9I1ycj3S6wK6iosLWJtgdShNzlCbmKE0sU5cuzuiwKpFSNrqsM+tkb6hr3DJKF3OUJuYoTcypTxNnvfc3xT9C03VyusDuwIEDtjbB7lCamKM0MUdpYhmlizlGo9HWJtgVQoh3hRCxQojFjS0jhOgkhPhOCBEvhFjeEnaqtmwZpYs5ShNzlCbmKE3MsbZ/dLrATqFQKJyFhx56CJPJRHl5OXl5eVx++eWA1mNYXl5uY+ucAyHEDMAgpYwCQoQQfRtZZg7wkZQyEvAWQkS2qOEKhULRymmNPtLpFk9RKBQKZ8HT05PU1FQef/xxhBC0b9+eqVOn4ubmxqxZs7jttttsbaIzMAH4TH//ExANHGxEmRxgkBCiI9ADOFq7YiHEvcC9AAEBAWzatKnGdn9/f4KDg0lLSyMsLIwtW7aYGRcVFUVGRgaBgYEYjUazOrp3705gYCAZGRmEhoYSExNjVkd0dDRpaWkEBweTlZXFsWPHamzv0aMHfn5+VQsAxMbGmtUxfvx4UlJSCA0NJSMjg5MnT9bYHhQUhI+PD9nZ2QQGBhIXF1dbCy677DKSk5MJCwsjLS2NU6dO1SgTEhKCt7c3ubm5+Pn5ER8fX2O7q6sr0dHRJCYmMnToUFJSUsjJyaGwsLBKl759++Lu7k5hYSE+Pj4kJibWqMPd3Z2oqCgSEhIYPnw4ycnJnD17tkaZfv36YTAYKCkpwdvbm+Tk5BrbPT09GTVqVFUdiYmJ5Ofn1ygzcOBAKioqMJlMuLu7s3fv3hrbvby8iIyMrKojPj6ewsLCGmUGDRqE0WjExcUFg8FAampqje3t27cnIiKiqo64uDiKi4sBqjQJDw+noKAADw8PKioqzEZoOnXqRHh4eFUdsbGxZiMWERER5Obm4uXlhdFo5ODBmpeHr68vYWFhJCUlERERQUxMjNmP7sjISLKzs/Hx8aGgoIDDhw/X2N61a1dCQ0NJSUkhPDyczZs3m6XEjRo1iqysLPz8/MjNzSUzM7PG9oaup8LCQoxGY9X1lJ2dzdGjNS9bZ7ueALPrCaBDhw4UFBTg7u6OEAKTyYSrqytFRUVmdnh5eXH+/HnatWtHUVGRWXpn9ToMBkNVG62rjvPnz2MymQAwGAzs2rWL559/HtCumylTpuDi4sINN9zA7NmzAW1eXOW+teuoxMPDo6pNCSHM5sVV1lG5X2FhoVkb9PT0pKKiAhcXF6SUVddKSUkJmzZtqnE91YmU0movwA/YWs92N+AbYBswr6H6hg8fLi+V33777ZLraG0oTcxRmpijNLGMJV1SU1Nb3hALXHHFFXL27NmytLRUzpkzR5aUlMgxY8bI0tJSqx43Pz+/SeUt6QXESyv6p5Z6Ae8C4fr7q4AnGlMG6AWsBZ4BVgBu9R1H+UfroXQxR2lijtLEnLo0cWYf2VT/KGXTfKTVRuyEEJ2A1UC7eoo9ACRIKZ/T5xJ8LqUssJZNgFqK1gJKE3OUJuYoTSzTkC7Pf5NC6vH8ess0lYEB7Xn2mrAGyxUWFrJmzRr8/f0ZPHgwkydPxs3NjQEDBvDGG28wbdq0ZrWrEoPBYJV6HZRCwFN/74XlKRCWyjwLzJdS5gshFgFz0QI8q6GuccsoXcxRmpijNDGnMZo4m4+0tn+0ZipmBXAzsL6eMhPQeiYBtgCRwG9WtEk9QNICShNzrKmJlJKDpwqJO5xDfknz5HB36+DBmN6d8e9gveWWVTuxjD3rMnPmTPz9/RkxYgShoaE8+uijPPHEE0RERNCmTRurHbdt27ZWq9sBSUBLrdwBhAOWVhOwVGYEMFgIsQMYBWy0tqH23JZtidLFnBbR5HwOJL7fcLmQCdB9+IXy/adDl35w9g/Y+wUY2kCfSdB1gFXNVe3EHHvXxBY+0tr+0WqBnZQyHxpcprMdUJk8nIuWulmD5p5DUDsHGJwv57n2HIKjR4/WaGhqDkExRUVFVZo0xxyCbr0H8mvKMZKzjez6I4+cIutMyu3dpR39OsK1o/pjOrmftrWu8EuZQ1CpSfXrSc0hcMXT0xMhRI05BJXzBwCenNzXKnMIKuu3VEdl/n9qaioFBQUcPXqUoqKiqjl1Xl5eFBUV1aijOecQ5Ofn0759+0bPIaicPwAXrqdWxDpgqxAiAJgKzBZC/F1KubieMqOBdGAVWkpmLPCxtQ2tvIcpaqJ0MccqmpSXwtZXtQAs7Ho4fxp+eaHh/Vw99cBOL98pWA/sMi7s/9Ni8B8MQ2bD4Jng7d+8tqPaiSUao0ljRtasReV8zmPHjlFcXMycOXMA7behtaj0sdZC1Ha6zX4AITZJKSfUsW09cJ+U8qSeanJSSrm2rroiIyOlpcBMobA3cs+XEnsoh22HzrA9/QyZOdqP+c5ebRjTuzNj+/gypndnurZ3v+RjSQmHTheyPV07XtzhXIrLKnARMKh7h6rjjQjywcNNpci1BPv27WPAAOv2DjeGu+66i27dupGUlET37t15+umnue+++7jyyisZNGgQkyZNsrWJgGW9hBAJUlsR0uHRpyZcCWyRUp682DL1ofyjwiEpyoXsvRA8XnNmb0dBnytg8j/AZAJTWcN1CAMYXC+Ud3EFF8OF/4vPQeo6SP4EjieCcNFG+YbMhgHToY31fmQrLKN8ZNNoio+09aqYleknX6Cln+yw9gFjY2OJioqy9mEcCqWJOU3V5LyxnJ2ZuWxPP8O29BxST2ijj17urowK9mFOVBBj+/jSz8/bKg/lDAvoQFhAB+4ZH0JpuYmko+fYln6G7YfOsHLrYZZtPkQbgwsRvToS3aczY/p0Zkj3DrgaGv/EE9VOLGPPuqxYsYL//e9/JCUl0a9fP2677TZ69OgBWPfhsIWFhXh5eVmtfkdDSnmWC6teXnQZa2PPbdmWKF3MuSRNykog7Qf4/VM4+BO4tYW/HAQ3D7h3k/YXwMUFXJrQ+Vm7fOX/3n4w6j7tdToN9nymHfvre+EHH3hkP7heeieraifm2LsmtvCR1vaPLRbYCSEuBwZKKZdU+3g18J0QYhwwEIizuHMzoh6ca47SxJyGNCmrqBY8peew++hZyipkVfD0yJWhjOnTmfDApgVPzUEbVxdGBvswMtiHh68MrQo6tx08w7ZDObzyUxr8lIa3uyujQnz0Eb3OhPp51XsjU+3EMvasi8FgYOrUqbz77rssWrSIRYsWERMTw4IFC/jmm2+sdlxrZ4IorIM9t2VbonQxp8mamExwJBZ+/wRS1oMxD7z8YfT9MOTmC8Gcm/XmiQPQJRQuXwwTnoKjcXB634Wg7uNbtJHD0fMvqmrVTsyxd01s4SOt7R+tHthVpmFKKX8Ffq217Q8hxJVoo3bPSCkrzGtQKOyHXZm5LN98iO2HcigqrUAIGBTQgXnRwUT36UxkLx8829hXumM7d1cm9uvKxH5dAcgpNBJ7OIdt6TlsP3SGjfu0eWWdvdyZNKArCyb2oYePWvyiteDh4cG3335b9f/YsWNJSkqy6oidQqFQAJB/Ana9A79/DnlHwK0dDLwWhsyC4Mu0lElb4OICvaK0F0C5EarfE42FsGulNh+vQ6BtbFS0CK3NR9o6FRMp5XFsnH6iUDTEvhP5vPzjAX7df4ou3u7cGBHI2D6+jA7xpWNb660uaA18vdyZPiSA6UMCAMg6W8T29Bxi0s/w9e5jfJmYxS0je7Lw8r508b709BSFfeGozkqhUDgIhaegtBB8QrS/Ma9D74lwxdPQ/2r7nNPm6g6zP7rw/x/bYOOzsPE5CIqG8Nkw4FrwsN6iGgr7wNF9pM0DO4XCnjmSU8R/fj7A+uTjeLu78viU/tw5JsjuRuUuhcBObZk1oi2zRvTgZF4J//3lIGvijvB5QhZ3RQdzz/gQ2nu42dpMhUKhUNg7JhMsi4ZeY+Cm96FzX23+XDtfW1vWNEInw4O74Xd9Pt76BbDhERj7EIx/TFusRaGwQ5yuZUZERNjaBLtDaWJOj9BBPL1uLx/vPIKrQTD/st7MH9+bDm1bd4Dj38GDf80YzD3jgvnPz2m8+Ws6H+74g/+b0JvrB7eqJeibDXX9mKOeY+eYqLZsGaWLOWaanEkH395aiuP017XRukocLairxCcEJjwBlz0OWfEQtxQ2vwiHN8GNK6FjzxrFVTsxR2lijrX9Y8uu6mAH5Obm2toEu0NpcoG84jJe+mE/V7+9k493HmH2yB5seXQij0/p3+qDuuqEdPFiyS0RfPtANEMCO/LP7/Yz7e2dfLLzCOUVpoYrcCLU9WNOebl1ntOosC6qLVtG6WJOlSYmE8S+BUujIGGV9ln/adC1v+2Ma26EgB4jYOZ7MGMlZKfC0mg48EONYqqdmKM0Mcfa/tHpRuzUEtzmKE2guLSC1bGZLN10iLziMib39+XJ6YMJ6myHcwFakEHdO/DBvJHEHsrhn9/u5Ymv9rBiy2EeuaofUwf54+Li2LnozYEzXj8VFRWkp6ezd+9e+vTpY/ZAcRcXp+szbBU4Y1tuDEoXc7y8vLS5dOvuh/SN0O9qGHi9rc2yPkNugsBI+Ho+tK05EqnaiTnOqkl9PtLa/tHpAjt7X3rVFjizJmUVJj6Pz+K/v6SRnW9kYr8u/GVyPzrKQro7eVBXnajeviy9sTepea68/OMBFqxNZHD3Djw6uR/j+nZ2+MnGl4K9Xj/Z2dls3bqVbdu28de//hWAa665htWrV+Pr64uvr/ajpF27dgwbNqzGvufPn6dfv3588sknADz00EPs2rULo9FIQUEBQUFBdOvWjV69eiGlrHJazzzzDBMnTuTHH3+kY8eOLFiwgJkzZ/Ldd99hMLSeeamtFXtty7ZG6WKBQ7/Clr+CMR+mvQIj7q65qmRrxicY5v1w4Xz1xWGMps62tcsOsedrx1Y+Mjo6ms2bN+Pt7W0VH+l0gd3Bgwfp3r27rc2wK5xRE5NJsmHPCV796QCZOUUM79WJN2YPY1SIdiFv2rTb6TRpiPT0dK6aMIErBvjx9e5jvPZzGre/t5OoEF8em9KPYT072dpEm2Cv18+GDRtISkoiLS2NNWvWAFpazHfffUdQUBDXX6/1roeEhBATE1Nj36SkJF5++eWq/5977jlcXV05ffo0U6ZM4Z133qFdu3bk5+cTEqLNpSksLKR9+/bExsZy8uRJTp8+zR9//EG7du0wGAyYTFoKrxrNs1/stS3bGqVLNcpL4Zfn6Ry7BLoMgNvXg99AW1vV8lQGdcXnIG45FJ7ioMdVqp3Uwp6vHVv5yG3btnHq1ClOnjxpFR/pdIGdwrmRUrI57TQv/3iAlOP59PPzZuXtkVwxoKtTjzo1BYOLYObwQK4J78bauE2eRAAAACAASURBVCMs+TWdG97ezlUD/Xh0cj/6+nnb2kQFMG/ePGJiYrj99turcvrPnDnDn//85xrljh8/TnR0dI3Pzp8/T2hoaNX/HTt2ZPPmzbz44ov8/PPPGI1GZs2axW233cYDDzwAQF5eHjk5OSxZsoTBgwczbtw4lixZQnp6OuPHjyc9PZ1169YxcuRIK5+5QqGwCmfS4ct5cCKZYwFT6T53Fbh52toq2+LZEebHgLsXxMRCdgq06wpeXWxtmaIBbOkjhw4dypgxY6ziI1Vgp3AaEv44y0s/7CcuI5fATp68dnM414Z3x6DmiV0U7q4G5o4N5qbIHrwXk8GKLYeZ/PoWZkQE8udJfQnspFZGrGLV1Q2XCZ0MYx+8UH7oLTDsVjifA5/dXrPs3A2NPnRQUBATJkwAIDMz02x7QEAAMTExGI1G3N3rfm7hokWL8PDwYNiwYUyaNIl169bh6XnhR53BYCAzM5NHHnmEvXv3cvLkSX7//Xf+8Y9/0KdPH5YvX66COoXCkdnwMJw7Ajd/xMFsL7o7e1BXSeWqn9IEn8+F4rNwwzLoc4Vt7XIknMhHLly4kMzMTKv5SJUTo2j1lFeYeOGbVG5cup1Dpwt5/towfn1kAjcMC1RBXTPg5e7Kg1f0ZctjE5k3Npj/JR/nilc382VClq1Nc1q+/PJLxo8fzwMPPMDhw4fZuHEjGzduJCcnhwkTJjBu3Di2bNlSw1GFhYVRUVEBwKlTp/jyyy+r6svLy+OFF14gIiKCVatW8dFHH5GTk8OMGTPYu3cvoK309eyzz1JWVsbChQt5+OGH6datGwkJCRw5cqQqHUWhUDgQJXlaoAJw7RKYvw0GTLetTfaKcIGbVmmLqqyZAT89raWuKuwOW/rI8vJyFi1aZDUf6XQjdpWTIRUXaM2anD1fysKPE9mWnsMdUb14bEp/2rk33OxbsyYXS0Oa+LRrw+LpA5kbHcwjnyXxyOfJ7DuRzxNT++NqaL19SI1qK03oPTQr3863yftfd911TJs2jRdeeIEuXbrQrVs3evToQWxsLOfOnePJJ5/E09OTzMxMunXrBmjP1ikoKGDlypV8+OGHzJ49m4qKCgwGA8uWLeOtt97C39+f2NhY7r77bsLCwvDy8mLWrFl89dVX5OTksHjxYg4ePEhiYiJ79uwhIyODGTNmADB16tSmaaBocdR9zzJOq0t5KbxzOfgNglmroVOvqk1Oq0k9+Pr6gl8Y3PMr/PRX2P4GZG6FG9/VnvHnhDS6nTiRj0xLS2Pfvn0kJSVZxUc6XWAXFhZmaxPsjtaqyf6T+dzzQTzZeUZemjmEWZE9Gr1va9XkUmisJt07evLhXaP4x4Z9rIzJ4EB2AW/+aRgd27axsoW2wR7byoYNG3jyyScZMWIEO3bsICsrCy8vLzp06EBERAQDBgzgiy++YP/+/VUPkJVSMnfuXObOnUtiYmKNFbqeeOIJBg4cyMSJE8nLy2Px4sW89tprbN68mVGjRuHn54eLiwuzZs1ix44dTJkyhaSkJNzc3IiIiGDdunU888wztpJD0UjssS3bA06ni5Ta4iCubSD6Yejcz6yI02nSCKo0adMWpr8GvS+H9Qth2Ti4+hUI/5PzrByqY6/txNY+curUqYSFhVnHR0opHeY1fPhweakkJCRcch2tjdaoyfd7jssBT38vR/z9Z5nwR26T92+NmlwqF6PJJzv/kH2e2iDHvfir3H8i3wpW2R5LuqSmptrAkgscO3ZMZmdny/LycllWViZffvll+f3338vz58/L8vJymZGRIYuLi+X48eNlcnKylFLKQYMGyby8vKo6li1bJpcuXSqllHLp0qVy9uzZMj8/Xx49elTecccdsqCgQN56661ywYIFsqysTEoppclkkqtXr5YDBgyQ06ZNk4cPH5Y33nijHDlypNy1a1ed9lrSC4iXduB3HOWl/KP1cCpd8o5JuepqKVPW11vMqTRpJBY1OZcl5XvTpHy2vZSfz5Oy+FzLG2ZD6monzuwjV6xYIcPCwqzmI51uxK4y8lZcoDVpYjJJXv/lIG/8cpChPTqyfM5w/Np7NLme1qRJc3Exmtw8oid9unozf00CN7y9jf/MGsqUQf5WsM522GNbCQgI4OGHH2bfvn24urpy9OhR2rVrh4+PD0ajkWnTptGvXz86derEkCFDAAgPD2f06NH4+PgAcOjQIT799FMOHDjA4cOHWbt2LcnJyTz//PP07dsXLy8v1qxZwyuvvEJOTg5t2rTh/vvvJyQkhJ07d5KamsrcuXN55ZVX8PPzY+bMmaxdu5bevZ0zJckRsMe2bA84jS77N8D6BVoKZnn9zx9zGk2agEVNOnSHO/4HW/8Dm/4FQ2Zpi4A4CfbaTmztI3fs2GE9H2kp2rPXV3P0SG7duvWS62httBZNCkrK5N2rd8lej38rH/ksSRaXll90Xa1Fk+bkUjQ5ca5YXvvmVtnr8W/laz8fkBUVpma0zLZY0sXWvZGNxWg0Nql8QUGB3LVrV1XvY20qP8/Pz5cmk0mWl1+4Bk2mur9zNWKn/KM90+p1MZmk/OEpbVRp2TgpTx9scJdWr8lF0KAmuRkX3p87alVb7IW6NHFmH5mfr2UvWctHtt4VDeqg8lkVigu0Bk0yz5znhre28ev+Uzx7zUBenjkEDzdDwzvWQWvQpLm5FE38O3jw6X1RzIjozusbD3L/RwkUGluHxnXpot137Zs2bZo279HLy4vIyEhcXS0ne1T/XAhRYw5CXc+JdASdnAV137NMq9fllxcgdgmMuAfu+hk692lwl1avyUXQoCadgrS/R+LgjWGQut7qNtma+jRxhHu/I/pIp0vFVLQ+tqSdZuHaRFxcBB/MG8nYPp1tbZLCAh5uBl69KZywgA78Y0MqM97exju3R9LLt52tTWt2PDw8yMnJwdfXVz34vh6klOTk5ODh0fR0aYVC0QxsXwIx/4Hhc2HayzZd3COvuIyEP3KJy8hlZ0YuaScLaI6f/gYXwaCADowM9mFUsA/DenbCs83Fd/xeMgHDYPT9EDzedjbYGOUjG8fF+EgV2CkcFiklK7dm8K/v9xHq582KOZH09FUPxbZnhBDcFR1MPz9vFqxN5Nol23jrlgii+7auYDwwMJCsrCxOnz5ta1NsQklJSaMdkYeHB4GBgVa2SKFQmJG0VluWf+B1cPWrLR7U5RQa2ZWpBXJxh3PZdzIfKcHNIAgP7MhNkT1wM1y6TcVlFew+co43fj1YVf+QwI6MDPZhZLAPkb064e3h1gxn1Ehc28CVL2jvy0rgTBp0G9Jyx7cDnNlHNsU/QtN9pArsFA5JSVkFT361h693H2PqIH9euSm8Uc+nU9gH0X0787+FY7nng3hufy+Op6YN4K7o4FbTc+fm5kZwcLCtzbAZmzZtYtiwYbY2Q6FQ1EVRLnz/OIRMgBnvgIv1R7BO5pUQl5HDzgwtmEs/VQiAh5sLET078dAVfRkZ7MOwHtYZUcsrLiPxj7NaIJmRwztbDrN00yFcBITpI3ojg30YGeRDp3Yt9Hie7x+DvV/Bnd9CwNCWOaYd4Mw+0tr+UThCjmslkZGRMj4+/pLqKCwsxMvLq5ksah04miYn8oq578MEfs/KY9GVoSyc2AcXl+YNCBxNk5bAGpoUGst55LMkfkzJZkZEd/55w+BLmhtpC1RbMac5NBFCJEgpI5vJpFaP8o/Wo9Xqcnw3+PYF96afW0OaSCk5mltcI5A7klsEgJe7K5FBnapSIwd370gb15Zf8qGotJzdR87pqZ857D5yDmO5CYB+ft5Vgd6oYB+6NmJ17YtqJ3nH4L3JUFYM835s1PxGR6LVXjuXQHNpUpePdLohjuzsbNXIauFImsRn5jJ/TSLFpeWsmDOcq8Kss3S+I2nSUlhDEy93V5beOpw3f03ntY1pHDpVyPI5kfh3cJw5V6qtmKM0cUzU92aZVqXLid+1gG74Hdpcr4vEkiZSSn5OzWbDnhPEHc7lZH4JAB3bujEyyIfbo3oxOsSX/v7euBpsv3Zf2zaujO3TuWpevrG8gt+z8qoC0a8Ss/hwxx8ABHdux8ggH2ZGBjIiyMdifRfVTjp0hzlfa8HdhzfAXT9C+4BLOi97olVdO82EtTVxusCu8vkTigs4iiYf7zzCM+v30r2jJ2vvGUWon7fVjuUomrQk1tLExUXw0KS+9O/mzaJPk7hmSQzLbhvO8F6drHK85ka1FXOUJo6J+t4s06p0iVsOGZth0I0XNVJXSXVNTCbJDyknefPXdPadyKezlzujQ7SRrlEhvvTp4tXsWTXWwN3VwIggH0YE+bBgIpRXmEg5nl8V6H239wSfxh8lKsSXB6/oy+gQnxrTBy66nXTuC7d9Ce9P14K7ud9D29bR5lrVtdNMWFsT23eZtDAFBQW2NsHusHdNyipMPL1uL09+tYfRIb6sXxBt1aAO7F8TW2BtTSaH+fPV/43F083An1bs4NNdR6x6vOZCtRVzlCaOifreLNOqdLnmdZj3wyUFdaBpUmGS/C/5OFP+u4X/+ygRY3kFr90czo4nL2fJLRHMiQoi1M/bIYI6S7gaXAjv0ZF7xoew8o5Idj41iWemD+TQ6UL+9M4OZi2PZevB01XL0V9SOwkYBn/6GHIPw9pZUHq+mc7CtrSqa6eZsLYmThfYHT582NYm2B32rElOoZFbV8bx4Y4/uHd8CKvuHEGHttZfvcqeNbEVLaFJP39v/rdwLKNCfHj8yz08u34vZRUmqx/3UlBtxRyliWOivjfLOLwuRbnw5d1QeAoMbtDh0lahLa8wsSYmjStf28yDH+9GSnjjT8P4+eHLuGFYoF2kWVoDzzYG5kUHs+WxibxwXRhZZ4uZ8+5OZizdzm8HTnHo0KFLO0DweJj5HhxLgE/nQHlp8xhuQxz+2rEC1tbE6VIxFY5DfkkZt66MI+PMeV6/eSjXD+tua5MULUDHtm1YdecI/v39flbGZFBgLOfVm8JbzYqZCoVC0WKUnoe1N8OJJO1ZdV5dL7qqsgoTX+8+xlu/pfNHjpH+/m14+9YIpoT5O+yo3MXg4Wbg9qggbh7Rgy8Ssnj7t0PMXbWL4PYuVPhlc8WArhfvrwZcA9e8Af9bCFtfhYlPNq/xilaPCuwUdomxvIL7Pkgg/VQh7905gvGhXWxtkqIFcTW4sHj6QLw93HhtYxr+7T14bEp/W5ulUCgUjkN5KXx2OxyLh5tWQ9DYi6qmtNzEl4lZvPVbOllnixnUvT0PDHPn4ZvGOVVAVxt3VwO3jurFTcN78PXuLF75bi93fxDPwG7tefCKPlw18CID3og5Wqpsnyub32hFq0cFdgq7w2SSLPosmdjDObx2c7gK6pyYB6/ow8n8Et7edIiu3u7cOdY5n3ujcGyEEO8CA4ENUsq/N6aMEOJ+4GZ9c0cgTkp5X4sYrHB8TCZYdz+kb9RGgAZe2+QqjOUVfBafxdLf0jmeV0J4YAdeuC6Mif26snnzZqcO6qrTxtWFm0f0xLfgEOc69OWt39KZvyaRfn7ePHBFH6YO6oahqVqF3aD9NRbC/m8hfHbzG65olThdYNe168WnIbRW7EkTKSUvfJvKht9P8OTU/tww7NLmAlws9qSJvWALTYQQ/O26MM4UGnn+21S6eHtw9ZBuLW5Hfai2Yo7S5AJCiBmAQUoZJYR4TwjRV0p5sBFllgJL9e1vAqutbav63izjcLpICT88Dnu/gEnPaY82aAIlZRV8svMIyzYf5mR+CRE9O/KvG4cwvm/nqhRDh9OkBQjw92PSwECuHxrAt7+f4M1fD7Jw7W76dD3IA5f3YfqQgKYHeDuXw6//gIAI6BJqHcOtiGon5lhbE6d7QHl5eTmurk4Xz9aLPWmybPMh/v39fuaNDebp6QNsNq/KnjSxF2ypSUlZBbeujGNPVh6r540kqrevTeywhGor5jSHJq3lAeVCiDeAH6SU3wkhZgOeUspVjS0jhOgOvCalnFXfcZR/tB4Op8umf8Omf8GYB+DKv0Ej/WhRaTlr446wfMthThcYGRnkw0OT+jKmt6+ZL3Y4TVqA2ppUmCTf7z3Bm7+kcyC7gJDO7VgwsQ/XDQ1o/AIzFeVwPBF6jLSS1dZFtRNzmksT9YBynZSUFMLDw21thl1hL5p8lZjFv7/fz/Qh3Vh8te2COrAfTewJW2ri4Wbg3Tsimbkslns/iOez+VEM6NbeJrbURrUVc5QmNWgHHNPf5wIRTSyzAH3krjZCiHuBewECAgLYtGlTje3+/v4EBweTlpZGWFgYW7ZsMasjKiqKjIwMAgMD2b17NxUVFTW2d+/encDAQDIyMggNDSUmJsasjujoaNLS0ggODiYrK4tjx47V2N6jRw/8/PzIysoiODiY2NhYszrGjx9PSkoKoaGhZGRkcPLkyRrbg4KC8PHxITs7m8DAQOLi4mprwWWXXUZycjJhYWGkpaVx6tSpGmVCQkLw9vYmNzcXPz8/agfCrq6uREdHk5iYyNChQ0lJSSEnJ4fi4mI8PT0B6Nu3L+7u7hQWFuLj40NiYmKNOtzd3YmKiiIhIYHhw4eTnJzM2bNna5Tp168fBoOBkpISvL29SU5OrrHd09OTUaNGVdWRmJhIfn5+jTIDBw6koqICk8mEu7s7e/fuBSDg2AZCD67gTI8pdL7ybyQkJjJ8+HDi4+MpLCysUcegQYMwGo0gBF/tyWHFtiMUlMIAHxfuGunByCB3Ivp0rrIjLi6O4uJigCpNwsPDKSgowMPDg4qKCg4cOFDjGJ06dSI8PLyqjtjYWO2Y1YiIiCA3NxcvLy+MRiMHD9YY0MbX15ewsDCSkpKIiIggJiaG8vLyGmUiIyPJzs7Gx8eHgoICs5UHu3btSmhoaNW9afPmzdQe2Bg1ahRZWVn4+fmRm5tLZmZmje0NXU/FxcVcfvnlVddTdnY2XrlHeXyoJDHbnfWHinnk82Re33iAOUPaM+/KYY28norg0CZ8z8QhhSvthl7vMNeTt7c3FRUVNa6n6tj79VSJl5cXkZGRVXXUdz25uLhgMBhITU2tsb19+/ZERESwadMmJk2aVON6qqQp11NdON2IncI+2Zx2mrve38XIYB9WzR2Bu6vB1iYp7JBj54q58e3tSCRf3j+GwE5tbW2Swkq0ohG7/wIfSyl36CmX/aWU/2xMGSGEC7ANGCMbcNbKPyqQUnusQVkxzPoADA333Z89X8pfPk/ml/2nGNvHlz9PCmVEkHqotDWQUrJx3yle+zmN1BP53DqqJ09PH4iHWyN+75hM8O4kyE6F29dDz1HWN1hh19TlI1vnw0bqYfPmzbY2we6wtSa/Z53j/jUJ9PXzZvmc4XYR1NlaE3vEHjTp3tGT1fNGUlRawR3v7eTseds/58cedLE3lCY1SACi9ffhQGYTyoxDWzSlRXpg1fdmGYfQRUot5XLGCrhpVaOCusQjZ7n6ja1sOXia564ZyJq7RjU6qHMITVqYhjQRQnDlQD/WLxzLfeND+CjuCDPe3k7mmUY8jNzFBf70KbQPgLU3QXZKM1ltXVQ7McfamjhdYOdII5QthS01yTxznrmrdtGpbRtWzx2Bt4f1Hz7eGFQ7McdeNOnn7807t0dy9Gwxd63eRXFpRcM7WRF70cWeUJrUYB0wRwjxH2AWkCKEqL0yZu0yG/TPJwPm+ZNWQn1vlrF7XY7EwYoJkJcFLgZwda+3uJSSd7YcZtayWAwGwRfzx3Dn2OAmTX+we01sQGM1cTO48OS0Aay8PZJj54qZ/mYMG34/0fCOXl3g9nXg1g4+nAG5GZdosfVR7cQca2vidIGdwn44XWDkjlU7MUnJB3eNpGt7D1ubpHAQRof48t+bh7L76Dke+Hg35RUmW5ukUFhESpkPTAB2ABOllMlSysUNlMnTP39KSvlVy1qscDhkhTZaZ2jTYNG8ojLu+SCBf3y3jysGdOXbB8YR3qNjCxipqM2kgX5899A4+vp5sWBtIs+s34uxvIGOyo49Yc5XUF4CH94ABdktY6zCYVCBncImFBrLmff+Lk7lG3nvzhH07uJla5MUDsbUwd144dowNu7L5un1e1XPoMJukVKelVJ+JqU8eSllFIoaVN7zeo2Be34Dr/qXUd995CzT3tjK5rRTPDN9IMtuG04HT/vIknFWunf05NN7o7g7OpgPYv/gxqXb+SOngdTMrgPg1i+gMBvWztIeRK9Q6KjATtHilJabuH9NAqkn8nnr1mEM69nJ1iYpHJQ5UUEsmNibj3ce5fWNBxveQaFQKFoDUsIXc2HLy9r/9aRRSil5NyaDWcu11RM/nz+GedFNS71UWI82ri4snj6QFXOGcySniOlvxPD9ngZSM3uMgBnvwIkk7dEWCoWO062KWX3ZYoVGS2piMkke+TyZr3cf46UbhzBrRI8WOW5TUe3EHHvVRErJo1/8zhcJWfzzhsHcMqpnix7fXnWxJc2hSWtZFbOlUP7RetilLkkfw7r5cOULMPahOovlFZXx6BfJ/JSazZUD/XhlZjgd2l76KJ1damJjmkOTo7lFLPx4N8lHz3HnmCCenNa//gXl1i+EPZ/DQ7+Dt98lHdsaqHZiTnNpolbF1MnKyrK1CXZHS2ry4o/7+Xr3Mf5yVajdBnWg2okl7FUTIQT/mjGYif26sHjdHn5KadlMNnvVxZYoTRwT9b1Zxu50OXcUvn8Meo6BqIV1Fks+eo6r39zKr/tPsfjqAayYM7xZgjqwQ03sgObQpIdPWz6/L4p5Y4N5f3smNy2L5WhuUd07TPkX3L3RLoM6UO3EEtbWxOkCOz8/+2z8tqSlNHk3JoPlmw8zZ3QvFkzs0yLHvFhUOzHHnjVxM7jw1q0RDA7syAMf7yY+M7fFjm3PutgKpYljor43y9iVLiYTrLsfpAluWKqtglkLKSXvb8tg5rLtSAmfzY/i7nEhzZp6aVea2AnNpUkbVxeeuUabA5lx5jzT3tjKD3vr6LB09wb/wdr7k3ua5fjNiWon5lhbE6cL7HJzW+4Hn6PQEpp8k3ycv32bypQwf567Nszuc/tVOzHH3jVp28aV9+6IJKCjJ3etjudgdkGLHNfedbEFShPHRH1vlrErXeKWQeZWbaSmU5DZ5rziMu5fk8hz36Qyvm8XNjwYTYQV5rHblSZ2QnNrMmWQP989OI7gzu2YvyaB579JobS8jhWg934Fy6LhsH09N061E3OsrYnTBXaZmZm2NsHusLYm29PP8MhnyYwM8uH12UMxuNh3UAeqnVjCETTx9XLng3kjaePqwh3v7eRkXonVj+kIurQ0ShPHRH1vlrEbXU7th43PQehUGDbHbPOerDyueTOGn/dl89S0/qy8I5KObRt+BMLFYDea2BHW0KSHT1s+nx/FnWOCWLUtk5uW15Ga2f9qmPwv6BnV7DZcCqqdmGNtTZwusFO0LCnH87j3wwSCOrflndsj8XCrZxKwQtEM9PBpy6o7R5BfUs4d7+0kr7jM1iYpFArFpVFeCl/fC+5ecO0bNVbBlFLyQWwmNy7dTlmFic/uG82943vbfWaMonG4uxp47towlt4aweFThVz9xlbzueSu7hD1f+DaBoyFFx6FoXA6VGCnsBpHc4u4c9UuvD1cWT1vZLNN2lYoGmJQ9w4snzOcw2cKueeDeErKGnjoq0KhUNgz2/4LJ5Lhmv/WeF5dfkkZC9fu5pn1KYzt48t3D45jeC8fGxqqsBZTB3fj2wej6eXbjns/TOBv36aap2aezYS3RsLvn9nERoXtUYGdwirkni/ljlU7MZZVsHreSLp1UMvdKlqWsX068+qsoezMyGXRZ0lUmFQPpkKhcFAi5sCUF2HANVUfncgr5rol2/gh5SRPTO3Pu3eMoFM766ReKuyDXr7t+OL+KO6I6sW7MRncunIHhcbyCwU69NBe3z0KeWpFSmfE6QI7f39/W5tgdzS3JhUmyfw1CRw7W8y7d44g1M+7WetvCVQ7MccRNbk2PIDFVw/guz0nefWnA1Y5hiPqYm2UJo6J+t4sY1Ndyo1gqgBvfxg9v+rjU/kl3PJOHGcKjKy9exTzL+uNSwvOX1dtxZyW0sTd1cDz1w3iv7OHknjkHPPe30VxqZ6V4mLQVks1lWurp5rqWGylhVDtxBxra+J0gV1wcLCtTbA7mluTd7YeZmdGLv+8YTAjghwzJUS1E3McVZO7x4Vwc2QPlm4+xC4rPAbBUXWxJkoTx0R9b5axqS4/PgUfXAcVF+YK5xQauXVlHNn5Jbw/bwSjQnxb3CzVVsxpaU2uG9qd128eSnxmbs0pBz4hMOWfkLEFdq5oUZtqo9qJOdbWxOkCu7S0NFubYHc0pyb7TuTzn5/SmDrInxkR3Zut3pZGtRNzHFmTp68ZSGAnTx75LJnz1dNWmgFH1sVaKE0cE/W9WcamugREQK8xYNDmqJ8rKuW2d3dyJLeId+8YYbP5dKqtmGMLTa4JD+ClmeHEpJ/h/z5KvDDnLuIOCJ0CG5+F09bJVmkMqp2YY21NhHSglXMiIyNlfHz8JdVhMplwcXG6eLZemksTY3kF1y3ZxpnCUn56eDw+Dpzrr9qJOY6uyc6MXG5eEcvsET3514zBzVavo+tiDZpDEyFEgpQysplMavUo/2g97EWX/JIy5qyMY9+JAlbeEcn40C42s8VeNLEnbKnJ2rgjPPX1HiaH+bHklgjcDC5QkA1vj4aOPeHujVWdAy2JaifmNJcmdflIp1N7y5YttjbB7mguTV7feJD9Jwt48cbBDh3UgWonlnB0TUYG+3Dv+BA+3nmE3/afarZ6HV0Xa6A0cUzU92YZm+iyfiEkflD173ljOXNX7SLleD5Lb4uwaVAHqq1Ywpaa3DKqJ89eM5AfU7JZ9FmytliYtx9c8zqcSIItL9vELtVOzLG2Jk4X2CmsQ3xmLss3H2L2iB5cMcDP1uYoFBZZdGUo/fy8eezL3zl7vtTWWfRUHgAAIABJREFU5igUCoU5e76A3R9CYTYAxaUV3LV6F0lHz/Hmn4YpH6uwyNyxwTwxtT/fJB/nsS9+x2SSMPA6GDIbtr4K547a2kRFC6ACO8Ulc95YzqLPkuneyZPF0wfa2hyFok7cXQ28dvNQzhWVsnjdXhwpFV2hUDgB+cdhwyIIHAFjH6akrIJ7P4wnLiOX/8wKZ+rgbra2UGHHzL+sNw9PCuXLxCwWr9d93LSX4LYvoWMPW5unaAGsFtgJId4VQsQKIRbXsb2TEOI7IUS8EGK5texQWJ9/fLePo2eLePWmoXi5u9raHIWiXgYGtOfhK0PZsOcE/0s+bmtzFAqFQkNKWL9AWwHzhuWUShcWrk1k68EzvHjjEK4b6rgLkilajgev6MP/TejN2rgjvPBtKtK9PYRM0DaqUbtWj1UCOyHEDMAgpYwCQoQQfS0UmwN8pE/88xZCqEnyDshvB06xNu4I944LYWSwYz7aQOF83De+N8N7deLpdXs5kVdsa3MUCoUCdq2EQ7/CVX+jvGMwD32ym437TvH36wcxK1KNtigahxCCRyf3467oYFZty+TfP+zXRu4O/gxvDIXDm2xtosKKWGVVTCHEG8APUsrvhBCzAU8p5apaZW4FBgEvAt8AM6WU2fXV2xyrfhmNRtzd3S+pjtbGxWpy9nwpk1/fQqe2bVi/cCwebgYrWGcbVDsxp7VpknnmPFP/u5XIoE58MG8kQlzcw31bmy7NQXNoolbFbBrKP1qPFtHlTDosi4agsVT86XMWfZ7M+qTjPD19IHdF29+zwFRbMcfeNJFS8vT6vazZcYSHrujLwxN6wOaXIPrP4NGhRWywN03sgebSpC4faa28uXbAMf19LhBhoUwMcDXwILBPL2eGEOJe4F6AgIAANm3aVGO7v78/wcHBpKWlERYWZnG1maioKDIyMggMDGTPnj0YjcYa27t3705gYCAZGRmEhoYSExNjVkd0dDRpaWkEBweTlZXFsWPHamzv0aMHfn5+ZGVlERwcTGxsrFkd48ePJyUlhdDQUDIyMjh58mSN7UFBQfj4+JCdnU1gYCBxcXG1teCyyy4jOTmZsLAw0tLSOHWq5up+ISEheHt7k5ubi5+fH7UdvaurK9HR0SQmJjJ06FBSUlI4duwYHh4eVWX69u2Lu7s7hYWF+Pj4kJiYWKMOd3d3Ro8ezYJVWzlbVMqTYzuwY9vWGmX69euHwWCgpKQEb29vkpOTa2z39PRk1KhRJCQkMHz4cBITE8nPz69RZuDAgVRUVGAymXB3d2fv3r01tnt5eREZGVlVR3x8PIWFhTXKDBo0CKPRiIuLCwaDgdTU1Brb27dvT0RERFUdcXFxFBcXU1JSUqVJeHg4BQUFeHh4UFFRwYEDNZ8J06lTJ8LDw6vqiI2NNWtjERER5Obm4uXlhdFo5ODBgzW2+/r6EhYWRlJSEhEREcTExFBeXvN5a5GRkWRnZ+Pj40NBQQGHDx+usb1r166EhoaSkpJCeHg4mzdvNptDNmrUKLKysvDz8yM3N5fMzMwa2+u7nio1qX49ZWf/P3t3HldVnf9x/PVlkUVAwQVkUUBFFAxFFDETLcusbN/LrGnK+TXtUzPVNFPNVLNVM00zTbZNtlnO1JSVmW3uiAlJAioqoIICCiog+73f3x+X0Mu5st5zz12+z8fDh3DPl3M/vs/3ePjes3wrOXDA+tIOV9qffn3heB79KJ83NpaQHtbUp/1p6NChNDQ0dOxP1dXVVm16sj9lZGR09J+8vDyOHj1q1cbV9qeNGzdy9tlnd+xPp+rp/qQ4XklJCYmJiUaX4XR0z8XUBv+7HXz9MS94gYf/t52Ptx3kl+ePc8pBHai+YouzZSKE4HcXJ9Pcaub5r3fj5+vFHXMfsyw0tYG3/rfOOFsmzkDvTPQ6Y/c8sExKubn9ssxEKeXTndq8DtwrpawVQtwP1EspX+5qvfb4RLK+vp6goKB+rcPd9CWTj7eVc89723hw3jh+PmeMTpUZR/UTLXfMRErJzf/+juySalbefRbxw3r/73PHXPrLHpmoM3a9o46P+tE9l3V/gW+eRF75b36zZ+zJMyznJuj3nv2k+oqWs2ZiMkvuX77t5BngM/zhnSvhrPsh+Qpd39tZMzGSvTJx9Dx2OcDM9q9TgFIbbUKBiUIIbyAdcMjj6Soru7za0yP1NpOK40385qN8UkcOZvGseJ2qMpbqJ1rumIkQgj9feQZ+Pt7cvzyPNpO51+twx1z6S2XimtR2s033XMZfjMx8iCdLE3l7835+ljmae+faejSB81B9RctZM/H2Ejx7VQrzkyP4/aeFvJ3fAD7+8On9lqew6shZMzGS3pnoNbD7CFgohHgOuBooEEI82anNH4CXgeNAGLBMp1qsdL5sTOldJlJKHvxvHq0mybNXT8LH2z1nzFD9RMtdMwkP8efJS5PZduAYL63d2+ufd9dc+kNl4prUdrNNt1zMJgDk0AT+0nwZr20o4eYZsfzq/HF9vufXUVRf0XLmTHy8vXj+2snMHT+cR1fsZOWYx6GtGT6+0/I0Vp04cyZG0TsTXX4rl1LWArOBzcAcKWWelPLRTm22SCmTpJRBUspzpZT1ttalOJe3N+9j/e4jPHLheOKGDjS6HEWxiwUpkSxIieRvX+0mv/y40eUoiuIJvvg1/PdW/vH1Ll5cs5fr00fy2IIJTj+oU1zTAB8v/nF9KmeNHcrPV9eSN+EB2Ps1bH3N6NIUO9LtdIuU8qiUcrmUsqL71oorKDlygqdW7mBWwjBuTB9pdDmKYle/vySJIUEDuO/9bTS1mowuR1EUdzdwKD8c8+PZr/Zy5ZRonrwkWQ3qFF35+3rz8sI00uPCuHzreA4PPxNW/waqe3+1iuKc3PM6OsXu2kxm7l++DT8fb/58xRnq4KO4ncGBA/jzlSnsrqrn2dW7uv8BRVGUfnjD+wou3nMhC1Ii+dMVZ+DlpY6riv4CBnjz2qKpTIoJ5dKy62kVvvDh7R2XBiuuzeMGdlFRUUaX4HR6ksmSdcV8v/8Yv780mYhB/t22d3Wqn2h5QiaZCcO4cfpIXt1Qwubi6u5/AM/IpbdUJq5JbTfb7J7L5n+x7uPXefyTQuYlhfPc1Sl4u9igTvUVLVfKZKCfD/++ZSpDImN5qGEhlG+Fbe/a/X1cKRNH0TsTjxvYRUdHG12C0+kuk/zy4/z1yyIuOmMEF6dEOqgqY6l+ouUpmTxywXhGhQXyi+V51DW1dtveU3LpDZWJa1LbzTa75nJsP6bVv+Xw1g85O3E4L1yXiq8LPoRM9RUtV8skxN+XN38yjcKh89gmx9D61e+h5YRd38PVMnEEvTNxvf9N+qmkpMToEpxOV5k0tZq4f/k2wgYO4MlLkx1YlbFUP9HylEwCB/jw7NWTOHS8kd9/Wthte0/JpTdUJq5JbTfb7JlLw6onaDVLPg77CS/ekMoAH9f8NUz1FS1XzGRw4ADevDWdv/ncyl/M13PC7GvX9btiJnrTOxPX/B+lHxISnHfCT6N0lclzXxZRVFnPn688g8GBAxxYlbFUP9HypEymjArl/2aPZvnWMr4s7HrOGU/KpadUJtaEEK8JIbKEEI/2to0Q4kUhxAL9q1Tb7XTslUtbWS6BO//Lm/JCnlg4D39fb7us1wiqr2i5aibDgv24/fqreeX4VH67Yodd1+2qmehJ70w8bmC3YcMGo0twOqfLJLu4mlfWF3ND+khmjxvu4KqMpfqJlqdlcs85CUwYEcLDH/5AdX3zadt5Wi49oTI5SQhxOeAtpcwA4oUQmpmnT9dGCHEWECGl/MQRtartZptdcpGSg8t/QbUMJuqih11+uiDVV7RcOZMZo4dy99ljGZT3Crveus9u63XlTPSidyY+uq5dcVl1Ta384j95jAwL5NcXjje6HEVxuAE+Xvz1mkkseGEDj/xvOy/dOEU9DVbpi9nA8vavVwMzgd3dtRFClAKvACuFEJdIKT/uvGIhxO3A7QCRkZGsWbPGanlERARxcXEUFRWRlJTEunXrNMVlZGRQUlJCdHQ0zc3NmnVERUURHR1NSUkJCQkJNn8pmTlzJkVFRcTFxVFWVkZ5ebnV8piYGMLDwykrKyMuLo6srCzNOmbNmkVBQQEJCQmUlJRQUWE9U1JsbCxhYWFUVlYSHR1NdnZ25yzIzMwkLy+PpKQkioqKqKqqsmoTHx9PcHAwNTU1hIeHs3XrVqvlPj4+zJw5k9zcXCZNmkRBQQHV1dXU19d35DJ27Fj8/Pyor68nLCyM3Nxcq3X4+fmRkZFBTk4OU6ZMIS8vj6NHj1JfvJmLanNZGvQTzoseRFVVFU1NTQQHB5OXl2e1joCAANLT0zvWkZubS21trVWbCRMmYDKZMJvN+Pn5kZ+fb7U8KCiItLS0jnVs3bqV+nrr6YKTk5Npbm7Gy8sLb29vCgutLz0PCQkhNTW1Yx3Z2dk0NjYCdGSSkpJCXV0d/v7+mEwmdu2yfqJwaGgoKSkpHevIysqiudn6g7LU1FRqamoICgqiubmZ3butd48hQ4aQlJTEtm3bSE1NZcOGDbS1tVm1SUtLo7KykrCwMOrq6iguLrZaPnz4cBISEigoKCAlJYW1a9ciO03MnZ6eTllZGeHh4dTU1FBaWmq1vLv9qb6+nubm5o79qbKyUjMZtTPvTyk+krqAwxzYfZjvP/2Kay+a2+/9CdDsT6fq6/50qnHjxuHt7e0y+1NDQwOA1f70o97sT6clpXSZP1OmTJH99e233/Z7He7GVia//E+ejHvoU7m1tNrxBTkB1U+0PDWTJWv3yFG/+lT+d+sBm8s9NZeu2CMTYKt0guNOf/8ArwEp7V+fBzzUkzbArcCHQATwFHBXV++jjo/66W8ulUfr5N7HJsj9T4yXDQ2N9inKYKqvaLlDJhVH6+Tk362W8/66Vja2tPV7fe6Qib3ZK5PTHSM97lJMpXtfFVby/tYD/CxzNFNGhRldjqIY6taZ8UyLDePxFQWUH2vs/gcUxVo9END+dRC2b4Gw1WYy8LKUsgJ4G5ijc52KDkxmyYo3/kQ8ZXif9wQBAe4/XZDiusIHB/Hc1SmcqNzDy//RXCSguAA1sFOsVNc389CHPzB+RAj3zlU3vSqKt5fg2atTMEvJA8vzMJtl9z+kKCflYLn8EiAFKO1hmz1AfPtracA+3SpUdPPPb3aTUrOKw2GpRKZfaXQ5itKt2WOH8nHIs8ze+Ts+2VZmdDlKLwkpXeeXlLS0NNn5Gt7eamtr67juV7E4NZP/ezuHr3dUseKuM0mMCDG4MuOofqLl6Zm8/91+fvXBdn570QR+MjOu43VPz8UWe2QihMiRUqbZqSTDCCFCgPXA18B84FrgKinlo120mQ6YgdeBcMAXuFJKaX2zzSnU8VE/fc1lc3E117+ymctThvOX+ZGIQe4zWbPqK1rulEnb9+/i8/H/8St5F3fc/TCjhvTtYT/ulIm92CuT0x0jPe6MXVFRkdElOJ0fM9m45wif51dwz9yxHj2oA9VPbPH0TK5Oi2H2uGH89csiak60dLzu6bnYojI5SUpZi+XhKJuBOVLKvFMHdadpc1xKWSelvEpKOUtKmdHVoM5e1HazrS+5VNc385tl6xgX5sPjl012q0EdqL5iiztl4pNyLS3DkrlHLOO+d7JpbjP1aT3ulIm96J2Jxw3s4uLium/kYeLi4jCbJX/8fCdRgwO4dabKSPUTLU/PRAjBry8Yz4mWNv7xzZ6O1z09F1tUJtaklEellMvb75frcxu9qe1mW29zMZsl9y/P4/bmN/jY6wGCvPv2S7EzU31Fy60y8fJiwPynieQIUyuX84eVO/u0GrfKxE70zsTjBnZlZep64c7Kysr4dPshtpcf5xfnJbj0pKn2ovqJlsoExoYHc3VaDG9tLuVAjeWRxSoXLZWJa1Lbzbbe5vLy+mLWFh0mOONmBpx1N/j46VSZcVRf0XK7TOIzYew87vP/hI82beeLgt5/5uR2mdiB3pl43MCu83wgCuw7UMYzX+wiMSKYSya51+UifaX6iZbKxOLeuQmWB6qstswvo3LRUpm4JrXdbOtNLjn7avjLF7u4YGIE886/FKbdpmNlxlF9RcstMzn3d/iZG3hi8Eoe/E8eZUcbevXjbplJP+mdiccN7BStbw+0sb+mgYfmJ+LtpSZgVpSuRAzy5ydnxvHRtoPklx83uhxFUZzEsYYW7l62jQXBu/hr8DuI5jqjS1KU/hmeiJi8kItbPiNKVnDXsu9pNZmNrkrpghrYebi6plZW7GkhI34ImQnDjC5HUVzC4szRDA705U+r+nbfgaIo7kVKyYP//YEjdQ38YeD7+BV/5ZaXYCoeaM4jCG8/Xo35nO/3H+OZ9qtVFOekBnYe7pV1xdS1wkPzExFCna1TlJ4YFODLnXPGsH73EQqOuN+DERRF6Z03NpXyZWElL5+xh4CaHXDOb9XATnEPwRFw+RKirvgj16ePZMnaYr7dVWV0VcppeNzALiYmxugSnEZVXROvrC9hdnwwKTGDjS7Hqah+oqUysbYwYxRRgwP4qFSqScs7UX3FNantZlt3ufxQdoynV+5gfkIIs8qWQNQUSL7CQdUZQ/UVLbfOZPwCCI3ltxdNIDE8iF8sz6PieFO3P+bWmfSR3pl43MAuPDzc6BKcxvNf7abVZOaX5483uhSno/qJlsrEmp+PNw/MS2D3kWY++eGg0eU4FdVXXJPabrZ1lUttUyt3vvs9w4L8eG7UJkTdQTjvSXDzK2BUX9Fy+0xOVOP//tX8e/ohmlpN3P3e97R1c7+d22fSB3pn4nEDO/XoVYviw/W8990Brk8fiVdDtdHlOB3VT7RUJlqXpEQRHzqAZ1bvoqVN3VD+I9VXXJPabradLhcpJQ9/uJ3yY428eGkMAdkvQOJFMGqGgyt0PNVXtNw+k4DB0NLAiAAzT16azJaSGv5+ypyutrh9Jn2gpjuwMzVZosVfvtiFv48Xd58zVmVig8pES2Wi5eUleOSiJA7UNPJO9j6jy3Eaqq+4JrXdbDtdLsu2HOCzHw7xi/MSmFS8BFobYO7jDq3NKKqvaLl9Jl7ecMtKmHQ9l6dGc+WUaF74Zjeb9hw57Y+4fSZ9oCYot7OsrCyjSzBc7v6jfJ5fwe2zRjM0yE9lYoPKREtlYpt31S7OHDOEF77ZQ11Tq9HlOAXVV1yT2m622cplx6FanvikgLPGDuVnE0yw9d+QdgsMHWtAhY6n+oqWR2QiBJjN8MNyfjcvmvihA7nn/W0crmu22dwjMuklvTPxuIGdp5NS8seVOxka5MdPz1KfpChKfwkheOj88dScaOHldcVGl6Mois5ONLdx57u5hAT48tdrJuFVshYGBEHmQ0aXpij6O7ILPrydwOzn+ecNqdQ2tnL/8m3qIWJOQg3sPMw3O6vYUlrDPXPHMtDPx+hyFMUtTIwexIKUSF5dX0JVbfdPClMUxXX99uMCio+c4PlrJzE0yA/Sb4d7tkGQmgtW8QDDx0PKtbD5JRL9j/H4xUms332Ef63da3RlCmpg51FMZsmfVu0kbuhArp2qHkGrKPb0wHkJtJnN/O3r3UaXoiiKTv6bU8YHuWXcffZYZsSFQdUOy4LAMGMLUxRHOvtRy2WZX/+ea6fGsCAlkue+LOK70hqjK/N4amDnQT7ILaOosp4H543D11ttekWxp1FDBnJD+ije/+4Aew/XG12Ooih2tvdwPb/5KJ/p8WHcfc5YKPwfvJgB+zYZXZqiONagaJh+B2xfjjj4PU9flkx0aAB3L/ueYw0tRlfn0YSUrnNNbFpamty6dWu/1mE2m/Hy8rxBTVOriTnPrGF4iD8f3TEDccocO56aSVdUJloqE9tOzeVIfTOZf/6Ws8YO46WFUwyuzDj26CtCiBwpZZqdSnJ76vioH7PZjBCCG17NpuBgLavvm0V4iD80HoPv37L8guvlbXSZDqX6ipbHZdJUC3+fbLk0c9EnbC+v5dIXN3LdtBievHQi4IGZ9IC9MjndMdLj0i4oKDC6BEO8samUQ8ebeHh+otWgDjw3k66oTLRUJradmsvQID8WZ45mVUEFOfuOGliVsVRfcU1qu9lWUFDAFwUVbNpbzQPnJVgGdWCZ12vGXR43qAPVV2zxuEz8Q2D2Q1C6HopWMTF6EAunj+Ld7P0UHqwFPDCTHtA7E48b2CUkJBhdgsMda2jhxW/3MGfcMKbHD9Es98RMuqMy0VKZ2NY5l1tnxjE0yI8/fb4TV7oiwp5UX3FNarvZNjJuNL//dAeJEcFcN20kNNTA6/OhrH9nSF2Z6itaHpnJlJthyBj48rdgauO+uQkMCvDl8U8KkFJ6Zibd0DsTjxvYlZSUGF2Cw724Zi91zW38an6izeWemEl3VCZaKhPbOucy0M+He+eOZUtpDV/vqDKoKmOpvuKa1Haz7ZnPtlF+rJHHFiTh4+0F656BA5vBN9Do0gyj+oqWR2bi7Qtzn4AjRZD/XwYF+vLAvHFsKanhs+2HPDOTbuidiccN7CoqKowuwaHKjzXyxqZSLp8cTWJEiM02npZJT6hMtFQmttnK5ZqpMcQPHcifVu3E5IFz+6i+4prUdtM6eKyR9/OOcuHEEWSMHgI1xbDlZZh8I4RPMLo8w6i+ouWxmSReCFe/BclXAnDt1JFMGBHC05/tYF/5IYOLcz569xOPG9h5mudWFwFw/3nqdLiiOIqvtxcPzhvH7qp6PsgpM7ocRVH66OmVO5DAwxe0X/Hy9e8sZynm/NrQuhTFaQgBEy4Gbx8wm/D2Ejx+cRIHjzexsrjV6Oo8jhrYubGdFbV8+H0ZN8+IJWpwgNHlKIpHOT85gkkxg3nuyyKaWk1Gl6MoSi9lF1fz6Q+HuCDOl+jQQMs9dQX/szwwJTjC6PIUxbns/QaenwS1h5gWF8aClEhWlrRyoKbB6Mo8ihrYubE/fb6TYD8f7pg92uhSFMXjCCF4aH4iFbVN/HtjqdHlKIrSCyaz5PFPCokaHMAF8b6WF9f9BQKHwIy7jS1OUZxRaBwMS4DmOoD2p7BbznorjuNxA7vY2FijS3CIrL3VfLvrMHfMGcPgwAFdtvWUTHpDZaKlMrGtq1ymxw/h7MThvLhmj0dN2qr6imtS2+2kZVv2s+NQLY9cMJ5xo+OgagcUrYJpi8EvyOjyDKf6ipbHZxIWBzd+YBncAZGDA7gxdTif51ewae8Rg4tzHnr3E48b2IWFhRldgu6klPxx1U5GDPLn5hmx3bb3hEx6S2WipTKxrbtcfnV+IvXNbfzz2z0Oqsh4qq+4JrXdLI41tPDs6l2kx4VxwcQISy6bXrA8BXPabUaX5xRUX9FSmbQ7dgCK1wDws9ljiA4N4IkVhbSZzMbW5ST07iceN7CrrKw0ugTdfZ5fQd6BY9x3bgL+vt1PnOoJmfSWykRLZWJbd7mMiwjmitRolm7aR9lRz7jXQPUV16S2m8VfvyzieGMrj1+chBCCqoMHLJMwT14IgeqXd1B9xRaVSbtP74UPb4fWJo7XHOHRCyewq7KOd7L3G12ZU9C7n3jcwC46OtroEnTVajLzly92kRAexBWpPfu3unsmfaEy0VKZ2NaTXO4/NwEEPPdlkQMqMp7qK65JbTfYVVHH29n7uSF9FONHWKYIihoVD3duhTmPGFyd81B9RUtl0i7jTqivhB/eJzo6mnlJ4Zw5ZgjPfVnE0ROec0vC6ejdTzxuYJednW10Cbp677sDlBw5wa/OT8TbS/ToZ9w9k75QmWipTGzrSS6RgwO4ZUYs//u+nB2Hah1QlbFUX3FNnr7dpJQ88UkBQX4+lg9jAFob2ZK1EXz8IGCwsQU6EU/vK7aoTNrFz4aIM2DTC2RvzkIIwWMLkqhvbuPZL3cZXZ3h9O4nHjewc2cnmtt4/qvdTIsL4+zE4UaXoyjKKe6YPYZgPx/+tGqn0aUoimLDqvwKNu2t5oHzEggd2P7QsewlpGcvhsajxhanKK5CCDjzHqjezZDq7wBICA9m4fRRvJu9n8KD7v/hppHUwM6NvLq+hCP1zTw0PxEhena2TlEUxxgU6MvP54xhza7D6glhHkQI8ZoQIksI8WhP2wghfIQQ+4UQa9r/THRcxZ6pqdXEk5/tIDEimOumjTy5IHIyVcNnQUCoccUpiquZcCkMHsnI/R92vHTf3AQGBfjy+CcFSCkNLM69qYGdmzhS38zL6/YyPzmC1JHqAKQozmjRjFgiB/nzp893qgObBxBCXA54SykzgHghxNgetjkDWCalnN3+Z7tjK/c8S9YWU36skccWJOHjfcqvRvGZFI9eZFxhiuKKvH0g4y4G1e6E/ZsBy4ebD8wbx5aSGj794ZDBBbovjxvYueuZrBe+3k1Tm5kH5o3r9c+6ayb9oTLRUpnY1ptc/H29ue/cBPLKjrNye4WOVRlL9ZUOs4Hl7V+vBmb2sM104CIhxJb2s3k+OtcJeO52Kz/WyL/W7uHCiSPIGD3E8qLZDBv+BnUVHptLV1QmWiqTTibfQKtvMGx8vuOla6eOZMKIEP6wcgeNLSYDizOO3v3EIQcLZ5KZmWl0CXZ3oKaBd7L3c+3UGEYP6/3Eqe6YSX+pTLRUJrb1NpfLU6N5dX0Jz6zexfnJET1+yJErUX2lw0CgvP3rGiC1h22+BuZKKQ8JId4ELgBWdP5BIcTtwO0AkZGRrFmzxmp5REQEcXFxFBUVkZSUxLp16zRvnpGRQUlJCdHR0URHR2vWERUVRXR0NCUlJSQkJLBhwwbNOmbOnElRURFxcXGUlZVRXl5utTwmJobw8HDKysqIi4sjKytLs45Zs2ZRUFBAQkICJSUlVFRYf/ARGxtLWFgYlZWVREdHax5AIIQgMzOTvLw8kpKSKCoqoqqqyqpNfHw8wcHB1NTUEB4eztatWwF4cVsTJpOZc4fVA5Cbm8ukgEN4ffUYheW1yPBZHbm+tAvfAAAgAElEQVSMHTsWPz8/6uvrCQsLIzc31+o9/Pz8yMjIICcnhylTppCXl8fRo9b3540bNw5vb2+ampoIDg4mLy/PanlAQADp6ekd68jNzaW21vq+pAkTJmAymTCbzfj5+ZGfn2+1PCgoiLS0tI51bN26lfr6eqs2ycnJNDc34+Xlhbe3N4WFhVbLQ0JCSE1N7VhHdnY2jY2NHcvXrFlDSkoKdXV1+Pv7YzKZ2LXL+uEYoaGhpKSkdKwjKyuL5uZmqzapqanU1NQQFBREc3Mzu3fvtlo+ZMgQkpKS2LZtG6mpqWzYsIG2tjarNmlpaVRWVhIWFkZdXR3FxcVWy4cPH05CQgIFBQWkpKSwdu1azVUT6enplJWVER4eTk1NDaWlpVbLe7I/NTc3d+xPlZWVHDhwwGq5J+xPP/Lx8WHmjJ/D2j9irtxBQVUb1dXVXBJj4g9bmnho6df88oIkj9ufgoIsv6d33p+AXu1PpyNc6XKgtLQ02bnj9FZeXh4pKSl2qsg5PL1yB69tKGHDr+YwYlBAr3/eHTPpL5WJlsrEtr7k8tkPh/j5u7m8elMacyeE61SZcezRV4QQOVLKNDuVZAghxPNYLqnc3H7JZaKU8unu2gDPSimb25ffDfhKKZ/t6r3U8bFvNhdXc+3Lm7nnnLHc9+OTMAFePx+Ol8Pd35OXX+BxuXTHE/tKd1QmWvlb1pJ8cDlkPgihsR2v37Xse1YXVPDV/ZnEhAUaV6AB7NVPTneM9LhLMZOSkowuwa4aWtp4b8t+zk+K6NOgDtwvE3tQmWipTGzrSy7nJYUTEeLP0qxSu9fjDFRf6ZDDycsvU4DSHrZ5SwiRIoTwBi4F8mz8nN152nZrM5l5fEUBUYMD+Fnm6JML9mfD/iyYcSd4+3hcLj2hMtFSmWglpp4Jl/7TalAH8PD8RLyE4OmVO4wpzEB69xOPG9gVFbnXBMEffX+Q2qY2Fs2I7fM63C0Te1CZaKlMbOtLLr7eXtw4fSTrdx9hT1WdDlUZS/WVDh8BC4UQzwFXAwVCiCe7afMZ8DvgLWAbkCWl/MoRxXradlv23QF2VtTxyAXjCRjgfXLBpr9bnoI5+UbA83LpCZWJlspEqyOTQ3mQ/0HH65GDA7hj9mg+z69g0x7Pekq03v3E4wZ2na8RdmVSSpZuKmX8iBCmxvb9SZjulIm9qEy0VCa29TWXa6eNZIC3F0s37bNzRcZTfcVCSlmL5eEom4E5Uso8KeWj3bQ5LqXMl1KeIaWcKKX8taPq9aTtdqyhhWdX7yI9LowLJkacXHC4CHZ+BlNvgwEDAc/KpadUJloqE62OTDb8FVb/Fkwn7428bVY80aEBPPFJIW0ms0EVOp7e/cTjBnbuZHNxDbsq67hlRqx6GpOiuJihQX5clDKCD3LLqG1qNbocRSdSyqNSyuVSytM+BrUnbRT7+uuXRdQ2tvL4xUnWx8+sF8DHD6bdblxxiuJuznsK/m+jZRqEdv6+3jx64QR2VdbxTvZ+A4tzL2pg58KWbiolNNCXiydFGl2Koih9cPOMWBpaTPx3a5nRpSiKx9hZUctbm/dxQ/ooxo8IObmgrgLy3oNJN0DQMOMKVBR3MygKAgaDlGA+Oc3BvKRwzhwzhGdX76LmRIuBBboP3QZ27XPvZAkhHu2m3YtCiAV61eGuyo81srqwgmumjsTf17v7H1AUxemcET2Y1JGDeTOrFLPZdZ5QrCiuSkrJEysKCfb35f5Tn4IJkP0SmNsg4+fGFKco7qy+Cl6aCXnLOl4SQvDYgiROtJh4dvWuLn5Y6SldBnbtj2z2llJmAPFCiLGnaXcWECGl/ESPOmyJj4931Fvp6u3Nlvtybpw+st/rcpdM7ElloqUysa2/uSyaEUtpdQNrdx+2U0XGU33FNXnCdvs8v4Ks4moeOC+B0IEDrBdOuNRyydiQ0VYve0IuvaUy0VKZaFllMrD9LPimF8B88p66hPBgFk4fxbtb9lNw8LiDK3Q8vfuJXmfsZgPL279ezclHOXcQQvgCrwClQohLdKpDIzg42FFvpZumVhPvbdnPuRPCiQ7t//wf7pCJvalMtFQmtvU3l/nJIxgW7MfSTaX2KcgJqL7imtx9uzW1mnjqsx0kRgRz3TQbH4pGToKMOzQvu3sufaEy0VKZaFllIgSceQ8c3gm7V1u1u29uAoMDfHliRaFm4nh3o3c/8em+SZ8MBMrbv64BUm20uQkoBP4M3CWEGCmlfKFzIyHE7cDtAJGRkaxZs8ZqeUREBHFxcRQVFZGUlMS6des0b5SRkUFJSQnR0dHs3r2bhoYGq+VRUVFER0dTUlJCQkICGzZs0Kxj5syZFBUVERcXR1lZGeXl5VbLY2JiCA8Pp6ysjLi4OLKysjTrmDVrFgUFBSQkJFBSUkJFhfV98rGxsYSFhVFZWUl0dDTZ2dmdsyAzM5N/fprN0YZWZkcJTR7x8fEEBwdTU1NDeHg4nSes9fHxYebMmeTm5jJp0iQKCgo4ePAgfn5+HW3Gjh2Ln58f9fX1hIWFkZuba7UOPz8/MjIyyMnJYcqUKeTl5XH06FGrNuPGjcPb25umpiaCg4PJy7OehikgIID09PSOdeTm5lJbW2vVZsKECZhMJsxmM35+fuTn51stDwoKIi0trWMdW7dupb6+3qpNcnIyzc3NeHl54e3tTWFhodXykJAQUlNTO9aRnZ1NY2Mjzc3NHZmkpKRQV1eHv78/JpOJXbusLxcIDQ0lJSWlYx1ZWVk0NzdbtUlNTaWmpoagoCCam5vZvXu31fIhQ4aQlJTEtm3bSE1NZcOGDbS1tVm1SUtLo7KykrCwMOrq6iguLrZaPnz4cBISEigosEymu3btWs1/kOnp6ZSVlREeHk5NTQ2lpaVWy7van37M5NT9qbKykgMHDlitw9X2p7y8PJKSkigqKtI8raon+9OIESMoKSnp2J+qq6ut2vRkf7ohfSR/+2o3JUdOUFu+x+X3p7y8PGbPnt2xP52qp/uT4ng1NTWEhvb9CcvObsnaYsqPNbLstun4eJ/yuXZbC3z5G8sDUzqdrQP3z6UvVCZaKhMtTSZJl8HXv4ONz8O48zteHhToywPzxvHr/+Xz6Q+HWJDivs+O0LufCD1GxkKI54FlUsrN7ZdlJkopn+7U5h/Ap1LKVUKI8cBTUsrLu1pvWlqa7PyLVW/V19cTFBTUr3UYSUrJRS9soM0kWXXvWXZ5GqarZ6IHlYmWysQ2e+RSVdfEmX/8hhunj+KxBa4/ya09MhFC5Egp0+xUkttTx8eulR9r5Jxn13BOYjj/vKHTZ81lOfDGhXDNWzD2XM3PunMufaUy0VKZaNnMZPO/YNVDcOtXEDO142WTWbLghQ0cbWjh619kEjhAr3NPxrJXPzndMVKvSzFzOHn5ZQpQaqPNHuDHC03TAIdM5tTfA5/RcvYdpeBgLTfNGGW3KQ5cPRM9qEy0VCa22SOX4cH+XDBxBP/dWsaJ5rbuf8DJqb7imtx5uz29cgdSwsMXJGoXRk+B+wthzFybP+vOufSVykRLZaJlM5PJC8F/MGx63uplby/B4xcnceh4Ey+t2eugCh1P736i18DuI2ChEOI54GqgQAjxZKc2rwFzhBDrgDuAZ3Sqxa28samUEH8fLpscZXQpiqLY0aIZsdQ1t/Fhrpr6QFHsKWtvNZ/9cIifZY7W3pfeeMzyCPbAMMs9QIqi6MsvCKbdBjs+hSN7rBZNiwtjQUokL60r5kBNw2lWoHRFl4GdlLIWywNUNgNzpJR5UspHO7Wpk1JeJaWcJaXMkFKW21qXclJlbROr8iu4Oi3GbU9RK4qnmhwzmDOiB7E0a5/b3zyuKI70zOpdRA7y52eZ2vvneO8GWL7Q8UUpiiebthi8B0CW5tEaPDw/ES8Bz3+928YPKt3RbR47KeVRKeVyKWVF962Vnnhn8z5MUnJTRqzRpSiKYmdCCBZlxLKnqp6Ne6q7/wFFUbq1tbSGnH1HWZw5moABneZ8LdsK+zbAyAxjilMUTxU0DCbfAMVrwdRqtShycADXpMXw8bZyKo43GVSg69JtYOesfHxc80xXc5uJd7fs55zE4Ywc0v8pDk7lqpnoSWWipTKxzZ65XJQygiEDB/CGi099oPqKa3LH7bZkXTGDA325Ki1au3Dj8+A/CFJv6nId7phLf6lMtFQmWl1mcs5v4edbwNtXs+inZ8VjMkv+valEx+qMoXc/8biB3cyZmin1XMJnPxziSH0Li2bE2n3drpqJnlQmWioT2+yZi5+PN9dNG8nXOyvZX+269xeovuKa3G277amq58vCSm7KiNXevlC9F3Z8AlN/Cn5dzyvlbrnYg8pES2Wi1WUmAaHgM8Ay3Uir9Zm5mLBALpg4gnc376euqfU0K3BNevcTjxvYdZ5DylUs3VTK6GEDmTlmqN3X7aqZ6ElloqUysc3eudwwfSReQvDW5lK7rteRVF9xTe623V5dX4yfjxeLMkZpF256wXKPz7TF3a7H3XKxB5WJlspEq9tMTlTD8ymw9XXNosWzRlPX3MayLft1qs4YevcTjxvYTZo0yegSeu37/UfJKzvOohmxdpvi4FSumIneVCZaKhPb7J3LiEEBnJ8UwfvfHaChxTWnPlB9xTW503arqm3iw9xyrkqLZkiQn/XC+irY9i5Mug6Cw7tdlzvlYi8qEy2ViVa3mQwcAsmXQ0SyZtHE6EHMGD2E1zaU0NJm1qlCx9O7n3jcwK6goMDoEnpt6aZSgvx8uDzVxj0CduCKmehNZaKlMrFNj1wWzYiltqmNj74/aPd1O4LqK67JnbbbvzeV0mY289OZ8dqFW14GUwtk3NWjdblTLvaiMtFSmWj1KJN5T0HcLJuLFmeOprK2mY+3uc+D8/XuJx43sKuudq2nzVXVNfHZ9kNcOSWaID99brh0tUwcQWWipTKxTY9cpsaGMmFECEs3lbrk1Aeqr7gmd9lu9c1tvL15H+cnRxA7dKD1wuZ62PIKJF4IQ8f0aH3ukos9qUy0VCZaPc6k9hBs/LtlTslTzBo7lMSIYF5ZX4zZ7HrHQlv07ie9GtgJizPavx4jhBjY3c8o/bMs+wCtJslNtu4RUBTFLQkhuHlGLLsq69hcXGN0OYoN6njovN7bsp+6pjYWz7Ixb93hXZan8J15r+MLUxTFtuJv4cvfwJ6vrV4WQrA4M56iynrWFFUZVJxr6XJgJ4SYK4TIbP9zLhAF/LN98R+BKXoX6Mla2sy8k72PzIRhxA8LMrocRVEc6OJJkYQG+rLUxac+cBfqeOgaWk1mXttQwvT4MFJiBmsbRE+B+wogZqrji1MUxbbkKyE4Ejb+TbPoojMiiRzkz5K1xQYU5nq6O2O3BJgJvA5cAaQDjUKISUCwlHKdzvV5tFUFFVTVNXOzDlMcKIri3Px9vblm6khWF1ZQfqzR6HIUdTx0CZ/kHeTQ8SbbZ+uOHQBTG/j4aZcpimIcnwGQcQeUrody66dG+np78ZOZcWSX1PD9/qMGFeg6uhvY7ZNSPgXsB95sf20M8BdgkZ6F6WXs2LFGl9BjSzeVEjskkMyEYbq+jytl4igqEy2ViW165nLj9JEAvL15n27voQc37StudzzszNW3m5SSl9cVMy48mNnjhnVeCMuuhfeu6/V6XT0XPahMtFQmWr3KJHUR+A2CTX/XLLp22khC/H14eZ3rn7XTu590N7CLEkLcDkQClwDnAr7A/4BLhBB361qdDvz8XOOTuvzy4+TsO8rCjFi8vOw/xcGpXCUTR1KZaKlMbNMzl+jQQM6dEM57W/bT1GrS7X3szU37itsdDztz9e22tugwOyvquH1WvO2pgeY8AlNv6/V6XT0XPahMtFQmWr3KxD8E0m6Bwo+hxnoAF+Tnw8KMUawqqKD0yAk7V+lYeveT7gZ2rUB1+9/HgTogEDC1v35Y1+p0UF9fb3QJPfLGplICB3hzVZo+UxycylUycSSViZbKxDa9c1k0I5ajDa2syHOdqQ/ctK+43fGwM1ffbkvWFhMR4s+ClEjtQiEsT8JMOK/X63X1XPSgMtFSmWj1OpP0n4GXD2T9U7No0YxYfL28eGW9a5+107ufdDewq5JSfoDlgLUG2AxUAtcAW6SUy3StTgdhYWFGl9Ct6vpmVuQd5IrUaEL8fXV/P1fIxNFUJloqE9v0ziUjfgjjwoNdauoDN+0rbnc87MyVt9sPZcfIKq7m1plxDPDp9KvNoTz45iloOt6ndbtyLnpRmWipTLR6nUnICDjjGvj+bThxxGrR8GB/rpgSxX9yyjhS32zHKh1L737S3cBuvBDidSAReKT9tTJgMfCGjnXpJjc3t/tGBnvvuwO0tJlZNMMxUxy4QiaOpjLRUpnYpncuQghumjGKgoO15OxzjRvH3bSvuN3xsDNX3m5L1hUT7OfDtdNitAs3/QOyX+rzul05F72oTLRUJlp9ymTG3dDWBN+9pln007PiaTWZedOFnxatdz/pbmB3LvBnYA7wELABGCil3A1sE0L0/i5kpUttJjNvb97HzDFDGTM82OhyFEVxApdNjiLE34d/u/DBzA2o46GT2l/dwOfbD3HD9FEEd77KpaEGCj+ClGvBf5AxBSqK0nPDEuC8J21eNj16WBDnjg/nzc37aGhpM6A45+fT1UIpZf6p3wshfIAH2r/9I6CewW1nqwsrOXS8id9dkmx0KYqiOInAAT5cnRbDvzeVUnG8iYhB/kaX5HHU8dB5vbqhGB8vL245M1a7MO89MLVYnrinKIprmHHXaRctzhzN6sJKln93gJvPjHNgUa6huzN2CCEWCCHChRDBgFlKmQUgpaySUtbpXqGHeWNTKdGhAZydONzoUhRFcSI3ZcRilpJ3sl1r6gN3oo6Hzqe6vpnlWw9w6eRIwkM6feAhJeQuhagpEKE+LFUUl3LoB5uXY04ZFUraqFBeWV9Cm8lsQGHOrduBHXAGlid/PQjECSGKhBCrhRAFQoi1+pZnf878ONodh2rZUlLDTRmj8NZ5ioNTOXMmRlGZaKlMbHNULiOHBHL2uOEs27Kf5jbnnvrAjfuKWx0PO3PF7fZm1j6aWs3cPiteu/DAFji8s99n61wxF72pTLRUJlr9ymT7f+Crx6FZ+xTJxZmjKT/WyGfbD/V9/QYxdLoDIcRYYDAwAggC2rBM0noecFBKmalrdTrIyMgwuoTTWrqpFH9fL65Os3Hzt46cOROjqEy0VCa2OTKXRTNiOVLfwmc/OPfBzB37ijseDztzte3W2GLizaxS5o4Pt31Peu5SGBAEyVf0631cLRdHUJloqUy0+pXJmffCvdvBL0iz6JzE4YweNpCX1xW7zNOif6R3P+nujN1jwGzgLmBW+2uy098uJScnx+gSbDrW0MJH28q5bHIUgwMHOPS9nTUTI6lMtFQmtjkyl7PGDmX0sIEsdfKHqLhpX+nz8VAI8ZoQIksI8Whv27Rf+vl938vuOVfbbv/JOcDRhlYWZ9o4W9d0HPI/tAzqbPxi2BuulosjqEy0VCZa/cpk4BAIGGz5utPgzctLcPuseAoO1rJxT3U/KnQ8vftJlwM7KeWNwEfAw8CngADGCCF+9+PfQgiXuot/ypQpRpdg0/vfHaCp1cyiGbEOf29nzcRIKhMtlYltjsxFCMGiGbHklR3n+/3OO/WBO/aVvh4PhRCXA95Sygwgvv3MX2/aPAME2P9fpOVK263NZObV9SWkjhxM2qhQbYPt/4G2RpjS/4emuFIujqIy0VKZaPU7k+q9sCQTSrRXul86OYphwX4sWbe3f+/hYHr3k57cY1cFeAPfAseBnwBfAIuAr4FW3arTQV5entElaJjMkrc272N6fBiJESEOf39nzMRoKhMtlYltjs7l8tRogvx8nPqsnRv3lb4cD2cDy9u/Xg3M7GkbIcTZwAmgwh7Fd8eVttuqggr21zSwOHM0Qti4Jz0yFWbeZ/m7n1wpF0dRmWipTLT6nUlIJBwtgZylmkV+Pt785Mw41u8+QsHB4/17HwfSu590Od1Bu2XAeuAuKeVRIcTPgeuBL6SUZ+tanQ6OHnW+T7m/3lFJ2dFGHr1wvCHv74yZGM0hmTQdh5aGk9/7h8CAgdDWAg3VEBAKvv7Q2giNx7peV8Bg8NX3Q33VT2xzdC5Bfj5cOSWad7L38ciF4xke7HwXTbhxX+nL8XAgUN7+dQ1ga6ShaSOEGAD8BrgMy5lCDSHE7cDtAJGRkaxZs8ZqeUREBHFxcRQVFZGUlMS6des068jIyKCkpITo6GgqKio02y4qKoro6GhKSkpISEhgw4YNmnXMnDmToqIi4uLiKCsro7y83Gp5TEwM4eHhlJWVERcXR1ZWlmYds2bNoqCggISEBEpKSqiosB7LxsbGEhYWRmVlJVFRUTzzaR4RgQLfqh2sObwTIQSZmZnk5eWRlJRE0XF/qnxmw9qTn/THx8cTHBxMTU0N4eHhbN261eo9fHx8mDlzJrm5uUyaNImCggKqq6upr6/vyGXs2LH4+flRX19PWFiYZrJhPz8/MjIyyMnJYcqUKeTl5WkyHTduHN7e3jQ1NREcHKz5RS8gIID09PSOdeTm5lJbW2vVZsKECZhMJsxmM35+fuTnW83GQVBQEGlpaR3r2Lp1K/X11g+hSE5Oprm5GS8vL7y9vSksLLRaHhISQmpqasc6srOzaWy0zOrxYyYpKSnU1dXh7++PyWRi165dVusIDQ0lJSWlYx1ZWVk0NzdbtUlNTaWmpoagoCCam5vZvXu31fIhQ4aQlJTEtm3bSE1NZcOGDbS1Wc9hlpaWRmVlJWFhYdTV1VFcXGy1fPjw4SQkJFBQUEBKSgpr167V3JuVnp5OWVkZ4eHh1NTUUFpaarW8u/2pvr6exMTEjv2psrKSAwcOWLVxxv0pOjqa7Oxsq+Wa/amoiKqqKqs2Pdmf2traNPvTqXq0P51xLeatr+N1opq8PWVW+9PIVkmgrxd/X13Ir8+Ocon9qby8nJSUFKv96Ue92Z9OR3R106EQ4jVgBZAL5AFvAMOxzN3zFZAipXTY49nS0tJk547TW2vWrGH27Nn2KchObnh1MyWHT7Dul3Pw8e7JSVT7csZMjGbXTMwmqN4DFduhsqD9Tz7UWv9nzcUvQOpNUJYDr54N1//HMkHnjk/h/Ru6fg/hBde9Bwnz4NgBy/rjZlkGinai+oltRuRSfLies59dy31zE7hnrubKPsPZIxMhRI6UMs0+FfVfX4+HQojngWVSys3tl1wmSimf7q4Nlg9ed0gp/yOEWCOlnN1Vfe56fLRl094jXP9KNn+4fCLXTRupbZD/AQxLhPAku7yfq+TiSCoTLZWJll0yqSyAf82A856CGXdqFj/1WSGvbyxl7YOziQ4N7N97OYC9+snpjpHdnbH7PXAbcAtwAHgHy4FtAnAYmAJs6Xd1Hmx3ZR0b91Tzy/PHGTKoU3TQ1gLfvQIRZ0DcWZZrxP85zbLMyweGjoNRZ0L4BPAffPLnYqZb/h48Ei76GwxvP4MbMdHy/WlJqKuE4RMs3+7+Aj77BdybbxnYFfwPSjda5nEKT7as144DPsXx4ocFkZkwjHey9/F/s0czwEf93+EAfT0e5mC5tHIzkALs6mGbnwFnt58VnCSEeFVK+VN7/oNc1ZK1xQwN8uOyyVHahaZWWPlLGHseXPYvxxenKIp9hSdB9FTLU24zfg6dLr2+5cw4/r2xlNc2lPDYAvt8mOPKuhzYSSlLgV8LIaKBhVLKHCHEPCzX+7+G5R4DpR+WZpUywMeLa6fa+NRRcV5tLVC9++TZt8oCy4DpvCfB2xfW/AlSF1oGdmHxcOlLloHV0ATw6WYOk6BhkHbLye9DR1l/350zroXwiTAo2vL9kT2Q9x589+P8ycJSU3iSZaAXkWz5evAozX+YivO6eUYst7zxHasKKrg4JdLoctxeP46HHwHrhRCRwHzgWiHEk1LKR7toM11K+e6PC9vP2KlBHZb5XtcWHebBeePw9/XWNvD2hTu/s1zCriiKe0hdBCvuhP2bYZT1dAGRgwO4eFIk7205wD3njHX4k+WdTZcDOyFEPFAupSwD/gAgpcwXQtwrpezqFILTGjdunNEldDje2MqHueVckhJJ2EDjOqIzZeIsbGZy7ABsXw6FH0NlIZjbn5PgPQCGjYOo9jPiQsC9P5x8TK+3D0y6zjGFg+XR3iPTT36f+SCc9Qs4vt8yAK3IPzkY3fEJIGFAMDy031J7xXbLWUP/QVarVf3ENqNyyUwYRuyQQJZuKnW6gZ079pW+Hg+llLVCiNnAucCfpZQVWC7l7KrN8U7LZ9vz33I6rrDdXllXTOAAb25MH3X6RoFhdn1PV8jF0VQmWioTLbtlknw5rHrYctZulHYeuNtnxfNhbjlvb97HnWc73+0Jp9K7n3R3KeZ1wJtCiMOAGcvjnQWWg49LDuy8vW18wmeQFdvKaWgxGTLFwamcKRNnoclkxV2Q+6bl65h0y+UA4e1nuoaOtXxKfKqAwTgVLy8IjbX8Sbzw5OstJ6BqJ9QdsrSREv5zCwyKgps+trQxm6H9ZmBFy6hcvLwECzNi+f2nheyqqGNchI0Jmg3ipn2lz8dDKeVRTj71ss9t9Obs2+3gsUZW5B3kpoxYBgX6ahtUFsAn98CCv1sudbcTZ8/FCCoTLZWJlt0yGTAQJl5pufro/D9qfsdKjAhh9rhhvLGplJ+eFW/7bL6T0Luf9OTGjOexPNq5EDiE5algA4QQcUIIl/t4oqmpyegSOqzcXsHY4UEkRw3qvrGOnCkTZ2Eqy4UPbjv51MroaTDnUbgnD25dDec+AWdcZfnlofOgzpUMGAjRU2D8RSdfu2wJzH7E8vWJI/DceFj5IOb9WzSThCrG7j8Xp0QiBKzcfsiwGmxx4/9T3Op42Jmzb7fXN5QggVvPirPdIGcpHMqDoHC7vq+z52IElYmWykTLrvaqYnQAACAASURBVJlMWWSZmzL/vzYXL541miP1LXyYW25zubPQu5+cdmAnhJgK3AzcBTQBr2C5fKQYGA/8CXhK1+p0EBzsHJ9qV9c3k11SzfzkCKNLcZpMDCUllG2Fo6UABPmYYO/XcKTIsjx1oeWSxtBYw0p0CCEsA70fL+Vsqbdc9pCzlIhPb4AXpljuH6wpMbZOJ2Lk/jMs2I+psWF8nu9cAzt3+z/FXY+HnTnzdjve0MqyLfu5OCWSqME2pnZpbYQf3oPxC2DgELu+tzPnYhSViZbKRMuumUROhuveh8kLbS6eHh9GSvQgXllfjMnsvB9C691PujpjtxXLfQRLAHnKn0IgV0p5tZTySl2r04GzTCC5urASs4T5E0cYXYrTZGKImmLLQOWFKfDqObDlFQByqgPgF7sgcpLBBRosNBauegMe3M3OcXdZJgtd8zT8fRK8Ng++ew0aaoyu0lBG7z8XJEdQVFnPnqr67hs7iNGZ6MAtj4edOfN2ezt7HydaTNx2VrztBoUrLHODpi6y+3s7cy5GUZloqUy07J7JuPNP+wA6IQS3zxpNyZETfFlYYbONM9C7n5x2YCctE9wNxTJB6o/3EgAMav+j9MPK7YeIHRJIohPdF+MxGmrgu1fhtfPg75NhzR8sA5ZL/gmZv7K0EV6ufYmlvfkPomLEXLj5U8s0Cuc8Bk3H4LP74a9J0FzX/ToUXZyfbPlwaJWTnbVzJ+p4aKymVhNvbCplVsIwJkSG2G6UuxRC4yD2LMcWpyiKY2W9CGv+aHPR+ckRjAwL5KW1xZoJ6D1Fd/fY+QI3cvLTSYBQIEYIsU4IYd8L2T3EsYYWsvZWM3/iCIR6vLzj7P4S3rsBnkmwzPPWVAtzH4f78i0Dlsk3gv9pfmlQThocA2fdD3dshsXrYN7T4Nf+AcX7N8LaPxtbn4eJGORP6sjBfJ7vvJ9Qugl1PDTIR9+Xc7iumcWzTnO27shu2LcRUm+yPARKURT3VVkAB7fZvOff20tw21lxbDtwjO9KjxpQnPG6uscuCZgLbAMGAouBycBYIB/4LfCiA2p0O18WVtJmlk5xf53bO3XH3/0llH0H6Yth8Xq4Iwtm3ndyvjeld4SAESkn59gzm8B3IPj4n/y+It+4+jzI/OQRFBysZX91g9GluCV1PDSO2Sx5eX0xyVEhzBh9mnvncpeClw9MusGxxSmK4ngLnofr3zvtvLtXTokhbOAAXl6318GFOYeuPto6AJQAU4HZwARgBPATwEdKuaa9jUsJCLBx07WDrcqvIGpwABMNfhrmj5whE10c22+53LJ0g+X7sx+F+3fAvKdgxBldTsbttpn0Q7eZeHnD5UvgzLst3+e9By+dCR/8tOOhNO7IGfrK+e0fEjnLQ1ScIRM7c8vjYWfOuN2+2lFJ8eETLJ412vYVLm0tsG0ZJJwPwfqcNHXGXIymMtFSmWjpkol3+0xtp7m/P2CAN4syYvlqRxW7K53vNhG9+0lX99jVSil/AnwupWwEbpRSNkkpG4AV7W3u1bU6HaSnp3ffSEd1Ta2s332E+ckRTnMZptGZ2F1ro+XvgcNAmk/e/+UfYhl89IDbZWIHvc5k/EUw837Y8Sm8kAafPwQnqvUpzkDO0FdiwgKZGDWIlU5yOaYzZGJP7no87MwZt9uSdcVEhwac/gqXXSuh4QhMuVm3GpwxF6OpTLRUJlq6ZbLrc3hm7GmvClqYMQp/Xy9eXlesz/v3g979pNuL0aWUn7d/edUpr72kW0U6y8nJMfT9v9lZRYvJzPyJznMZptGZ2E3tQctE4v+aAW3N4BsAP/0Kxs3v9arcJhM76nUm/oNg7mNwdy6kXAtbllieprnumZPzA7oBZ+kr5ydHkHfgGAePNRpditNkYm/udjzszNm229bSGnL2HeW2s+Lx8T7NrysJ8+CK12D02brV4Wy5OAOViZbKREu3TGLSLQ+5y11qc3HYwAFckxbDR9vKqax1rvkF9e4nvbnL2KxbFQ40ZcoUQ9//8+0VhIf4MTkm1NA6TmV0Jv3WdBy+egL+nmq5JGfsPDC1WJb18ayoy2eigz5nEhIJl/wD/i8LYmfCN7+HF1Itkwmb2uxbpAGcpa/8eEZjlROctXOWTHTkFsfDzpxtu728rpjQQF+uSuviPmjfAJh4ZY+vxugLZ8vFGahMtFQmWrplEhgG4y+GH94/eZVWJz89Kx6TWfL6Ruead1fvftLlwE4IsVEI8Y0Q4ltg2o9fn/J3lq7V6SA3N9ew925oaWNNURXnJ0Xg5eUcl2GCsZn0S1uz5bG3z0+CDc9B4oVw53cw/48nn9LYRy6biY76ncnwRLhuGdzyueWBNZ/cDTtW2Kc4AzlLX4kfFkRiRLBT3GfnLJnYkzseDztzpu12pL6Zr3dWcc3UkQQO8LHdaMsrsOkfNp+OZ0/OlIuzUJloqUy0dM1kyiLLB/uFH9tcHBMWyLkTwvkgp9ypJizXu5+c5n9LCynlmT9+LYT4XErZ+2vanExtba1h771m12GaWs1OMSn5qYzMpE/MZsj/AL75neUBKXGZcO4TEDnZbm/hcpk4gN0yGTUDbv3S8pTSMedYXiv4yHJmL2aafd7DgZypr8xPHsHfvi6iqraJ4SH+htXhTJnYizseDztzpu22cvshTGbJZZOjTt+odAO0NsCMO3WtxZlycRYqEy2ViZaumcSeBWHxlqt/Uq612eTSSVF8UVBJ1t5qZo4dql8tvaB3P+nNpZgd1zkIIUbpUIvbW7n9EEODBjA1NszoUlzbB7fChz8Fv0Fw44dw08d2HdQpDiAEJJxnuXzKbLZMNrrmD0ZX5fLmT4xASviiwPjLMd2cOh7q7ONtB0mMCGZcRBdXX1y9FK5+y3FFKYriPISwzF25fxMcLrLZZE7icIL9fPh4W7mDizNOtwM7IcSY9i8/OeXlPwshbtOnJPfU1Gri251VnJcUgbcTXYbpMg79AM31lq8n3wCXvWyZHHvMOX2+j05xEl5elofcXPwPy/dH98Gn90OdGpz01tjhQYweNlBNVq4TdTx0jAM1DeTsO8rFkyJP3+jH44GvcWemFUUx2KQbLHNYnuYhKv6+3sxLjmBVfgVNrSYHF2eM7u6xmwm8I4QYBlz84/0EQATwLyGEmg20h9YVHeZEi0lNSt4XNcWwZBZk/8vy/Zi5kHKNZUCguAe/IBjUfsnV/s2W/6T/Phm+ecqtnqCpNyEE85NHsLm4mur6ZqPLcSvqeOg4K/IOArDgjNMM7I6Xw1/GwPb/OrAqRVGcTtBwy5PP85ZZnrtgwyWTIqlrbmPNrioHF2eM7n4zTgfmSykPA2Yp5Rwp5dlSykxgMPA/3Su0swkTJhjyvqvyKxgc6Mv0+CGGvH9XjMqkW0f2WP4Oi4fLlsBUx30o7rSZGMhhmaRcAz/fYnmM+bo/wytzTjtXjTNwtr4yf2IEZglfFlYaVoOzZWInbnc87MxZttuKbQdJGxVKTFig7Qbb3oG2RohyzFMInSUXZ6Iy0VKZaDkkk9SbLQ9ROfi9zcUZ8UMYGuTHx9sO6l9LD+idSZcDOynls1LKH6d2X9lpWX375KwuxWRy/KnYljYzX+6o5Nzx4fiebi4eAxmRSZdaTsCKu+Gf007uqCnXQMBgh5XgdJk4AYdmMmQ0XPUGLPwIGo/CK2dD9hLdn37XF87WVyaMCGFkWKChk5U7Wyb24I7Hw86cYbvtrKhlV2Udl5zuMkyzGXLfgvjZEBbnkJqcIRdnozLRUploOSST0XPg/h0wcrrNxT7eXlx0xgi+3llFbVOr/vV0Q+9MejzKkFI+r2chjmI2O376oY17j1DX1Pb/7J15XFTnufi/ZwYYkH1UQBhUTMQFZAjSUBqiZo82iU3SJm3SdG9um263a5qu6e1y29tfe9Plpm162950z9ZGEzV71JgoqSAgqOCCyoBAZEdggOH8/jiADmeQbc6sz/fz8RPkvHPOk+95j2fec973eQKqKPmF+MPJpDQfhEc2QPkf4YrPQmquX8IIKCcBgl+cXHIVfPIN7Uvcjq/A394L5876Po6LEGh9RZuOmcYbx87S1eefm1igOfE2oXI/nEggnLctFU2YTQqbJssefeIV6DoNBR/0WUyB4CXQECd6xIkenzgxmbUpmdoBPTbZnJ/O4PAIzwfA+nOjnQTe6yODsVgsPj/mcwebibdEcMWlgZFqdSL+cKJDVWHfr7U3MwPd8IGn4doHwRzpl3ACwkmA4TcnsQvgrsfgxh/B8VfgkatgaMA/sXggEPvKxjWLGB5Reemwf6ZjBqITYWr8fd5GRlS2VjRx5fIFzI+bJJayR2HefK1uqY/wt5dARJzoESd6fObENQyP3gyvfs/j5vzMJBZb542v3/UnRjsJu4FddbVv1+oMu0Z44VAz16xKwRJhnvoDfsDXTnScOwt/vROeux8uufr8Gxo/4ncnAYhfnSgKvP0T8PFX4Kqvnc+EFwBPSAOxr9htiaQnRvutWHkgOhGmxt/nrfx0B42d/ZNPw+xthdrtYH8fRPjuS7S/vQQi4kSPONHjMyfmCFiQDYk2j5sVRWFzfjqvHztLa49/Hwwb7STsBna+prS+nY6+oYArSh4wHH8FfvUOOLETNv4Y3vd3iA28BDNCgJC2BvLfp/18+Bn43bXQ478kIYGKoijcmLuI3UfP0hMAawoEYTpsrWwiOtLEdasnWbZQ8VcYGfbpNExBEIKEd/4ECj8y6ebN+emMqLC9yj8PPH2FDOwMZvvBM8yLMrM+e6G/Qwk8nL3w1MchOkl7E1N0r9SkE6aPYgZLAsQk+zuSgGTjmjQGh0d45Uh4pHgWgpsh1wjbqs5w7apU4iwR+gaqqq29XvwOWJjt+wAFQQh8hgag/jWPmy5NiWf1ogS2BMB0TCMxbGCnKMrvFEXZqyjKN6Zol6ooiuccpUGOa0Tl+ZoWrlqZQnRkYE7D9AudDdoUOkscvP8puHcnpPknSYoQxKzcBPf8EyKitMyZO76qrc8UAFi7OJmUeAvPBcBicUGYitePnaXt3CCb8zM8N2g9BB31sFbe1gmCMAmvPwR/vEWrdemBzfnpHDjdyem2oE9iPCmGDOwURbkNMKuqWgwsUxRl+UWa/z8gxog4PBEXF+erQ7H/ZDtne50BX5Tcl05oOw4Pv/18sfH0fIiapFaRH/GpkyAhIJ2MveGt3w1v/gZ+cyU49vs0hID0AphMCjfkpPFqbSt9g8M+PXagOhEujj/P29aKJhJjIief3ZKaA5+vgdWbfRsY0p89IU70iBM9Pndify+oI3Dgzx4332zX1u9urfQ88PMFRjsx6o3dBuDx0Z9fAEo8NVIU5WrgHOCzR8qFhYW+OhQ7qpuxRJi4akWKz445G3ziZKz+mHUZXPE5v9ycZ4Iv+0mwENBOVm+GD++AERf8/gZ47ac+S6wSyF425qYxMDTCrtq3fHrcQHYiTI6/zlv/oIvna5rZmJtGVISHryVj94+EdIj02XPgcaQ/6xEnesSJHp87SV4Ky66CA3/Svg9MID0phsuXWnm6ognVT3VxjXbiYSK7V4gFxobD7UDBxAaKokQB3wRuBZ6ebEeKotwL3AuQnp7Ozp073banpaWRlZVFXV0dOTk57N69W7eP4uJi6uvrsdls7N+vf5qfkZGBzWajvr6e7Oxs9uzZo2tTUlJCXV0dWVlZOBwOGhvdR/uZmZmkpqbicDjIysri9TfeYEtZPzlWE//aq+1v3bp11NTUkJ2dTX19Pc3N7uPZpUuXYrVaaWlpwWazUVpaOtEF69evp7KykpycHOrq6mhtdV8/s2zZMuLj42lvbyc1NVX3/xsREUFJSQnl5eXk5+dTU1NDQ0MD8+adf2u2fPlyLBYLvb29WK1WysvL3fZhsVgoLi6mrKyMtWvXUllZSUdHh1ubFStWYDabGRgYIKn3KKZtX6Am537656UDlxNzpJGiItv4PsrLy+nudp9Gt3r1alwuFyMjI1gsFl0mobi4OAoLC8f3sX//fnp7e93a5Obm4nQ6MZlMmM1mDh065LY9ISGBgoKC8X2UlpbS399PX1/fuBO73U5PTw/R0dG4XC5qa2vd9pGcnIzdbh/fx969e3E6nW5tCgoKaG9vJy4uDqfTydGjR922z58/n5ycHCoqKigoKGDPnj0MD7u/ZSksLKSlpQWr1UpPTw8nTpxw256SkkJ2djY1NTXY7XZ27dql+4erqKgIh8NBamoq7e3tnDx50m37xa6nMScXXk8tLS00NDS47cOI62nv3r26feivpwEicn9Idt3DpLz8HfoP7WD45v+h+Zxi6PUUExODoijj11NbW5tbG29fT/Hx8VRWVrptj4mJoaioSHc9uUZU4iPh/16uZG2q2WfX04svvsh11103fj1dyHSvJ8H3jJ17X/PykRbODbq4ZbJsmKW/gbod8N6/QlSsb4PDf14CGXGiR5zo8YuTtR+EJz4Ex1+F5dfqNt+Sn843nq7m8JkeVqcn+DY2jHeiGDFiVRTlZ8DfVFXdNzotc6Wqqj+Y0OZbwGFVVZ9QFGWnqqobptpvYWGh6mlgFoiUn+7gtoff4L/vtHPrZZ7Tr4Y8Iy5tvvMr34eEDLjzj5B+mb+jEkIdVdWmYez4CkREw7sehhUb/R2V3/jqU1U8U9lE2TevC6q1voqilKmqKo/Ap0kw3R8n8vE/7qfK0ckbX70Gs8lDAq2yR+HYS3Dnn3wfnCAIwcXwIPx0FSwphjv1UzLbzw1y+fdf4qNXZvHAxlV+CNA7THaPNGoqZhnnp1/agZMe2lwLfEpRlJ1AvqIo/2tQLG746sb3XHUzkWaFa1al+uR4c8EQJ91N8MfN8PJ/aNPkPvFaUA3qgvULkpEEjRNFgYJ74N92Q2IG/O29sP3L56dzeZlA97JxzSLODbrYc/Ssz44Z6E6CBUVRrIqiXKcoygJfHM8f562rb4idta3cnJfueVAH2hN4Pw7qpD/rESd6xIkevziJiNLKItXu0GpfTsAaG8W67IU8U9HEyIjvp2Ma7cSogd3TwD2KovwUuAOoURTFrRy8qqrrVFXdMPqmrkJV1Y8ZFIsbE6cWGYGqqmw/eIaSSxeQEB1p+PHmitedNB+ERzZAYxnc8kt49+8hJsm7xzAYX/STYCPonCxYDh97Gd7+KTBFGFZKI9C9FC+bT0J0BNt9WKw80J34mulkiZ7YRlGUZOBZ4HLgVUVRDK+Z44/ztqP6DEMudfJsmI3l2hN4PyL9WY840SNO9PjNScEHtZqXFX/xuHlzfjpNXQPsP9XhcbuRGO3EkIGdqqrdaAlU9gFXqapaqarqpDe06UzDDCZqmrpxdPSHZ1Hy+tfgD5u0L9Iff0V7cyK16QR/EWGBG38AN4zOBG+pgS6Hf2PyMVERWsHnlw61MDjsm4QywnmmkyV6kjZ5wBdUVf0+8Dwe1qqHAlsqmli2IJbcDA9rXQa6tPvJi9/yfWCCIAQvC5bDkiu02pceZutcuyqVmEgzWyr8lx3TKAyrY6eqaoeqqo+rqhp2RZS2HzyD2aRwXRBMw/Qqh7bAn2/TMpd99AVICd65y0KIoSjams8nPgRPfNiwaZmBysbcNLoHhnnjuO+mYwrjbGDqLNG6Nqqq7hpdp74O7a2dPoNQkNPcNcC++jZuyU9H8fQA8OATMNwPee/xfXCCIAQ3BR+E6EQ4p88KHWuJ4LrVqWw7eCbkHngalRUzbFFVlR3Vzbzjkvkkx0b5Oxzf0teuraN7399hntXf0QiCOyazNi3YFBl2b5FLli8gzhLBc9XNbAjw8ishyJRZoidro2ijnTuBDmBo4oe8nTXa6XTq9mFkltvn6odQVUhzOhgZuVSXNXrt/odRYrPYX9fN0qGTfska3dbWRm9v77gXf2a5vRB/Zo0Gxp1I1ujz9Pb24nQ6AzRrtH+ysAO66+lCDL2e1BTIfpCYmnqKilJ019My8zBb+4Z4+B+vcNeGPJ9dT319WnH0uWSNLisrYzIMyYppFN7I+nX27FkWLDBuHfqR5m5ufOg1vn9rLncXLTHsON5kTk5UFdqOaa+9AVzDYA7+5wVG95NgJKScqCq88A1tqsbKTXPaVbB4+ezfDvDa0bf419evJcJs2GQNwDtOQiUr5jSzRF+0jaIo3wWqVVV9bLLjBMP9cSI3/2IPigJbP+3hJebZo/DLQm0adfGnfBaTJ4LlGvcl4kSPONETEE4GusEcBZHRbr8eHB7h8h+8xPrshfzsvb5L7uctJ77OihmwTHxS5G12HGxGUeD61WmGHsebzMnJ6w/Br6+EtuPa30NgUAfG95NgJKScDPXBqTfgsbu1OfhzIFi8bMxNo6NviDfr2w0/VrA48RHTyRKta6Moyv2Konxg9HdJQKeRQYJvz9vxt3o52NjFLfZJatdV/wNQIOc2n8U0GdKf9YgTPeJEj9+dtB6BH18Ktdt0m6IiTGxas4gXalroGxz28GFjMNpJ2A3sTCZj/5d3VJ/h8qVWFsZbDD2ON5mTk/z3w9VfB+sy7wUUABjdT4KRkHISFQsffAaWXQVbPwO7fzzrdXfB4mXDihRiIs0+yY4ZLE58xJRZoj202QY8Mvq73YAZbe2dofjyvG2taEJR4GZPAztVheonYWkJJPg/CZn0Zz3iRI840eN3JwuWQ/F9kLLa4+bN9nT6h1y8eKjFZyEZ7STseqHZbFyB3uNv9VLX0svG3OB5WwezcNLfAS99B1xDELcQ3vGZkFuzZGQ/CVZCzoklDu56DPLuhFe+pxU0H3HNeDfB4iUmysyGFQt5vqbF8No9weLEF0wnS7SHNl2jCciuGy0NdJ/qg3UTvjpvqqqytbKJ4mXzSU2I1jdoqYazdZDr/7d1IP3ZE+JEjzjR43cnJjNc++CkyfzettTKosRotlY0+Swko52E3cBu4mJGb/JctbY49cZc/z9hnAkzctLVCL/fCG/8ApoOGBeUnzGynwQrIenEHAnv+rX2cOLNR+DJj8DwzKZJBJOXjWsW8VaPk7LTxtbuCSYnvmA6WaIDIZO0r87bwcYu6s+eY3P+ZNMwn9JK5qza7JN4pkL6sx5xokec6AkIJ6qqLb04XarbZDIp3GJPZ1fdW3Sc8029TKOdhN3Azki2HzxDweIk0hI9PIEMBd6qhd9dr9UBe/9TkHm5vyMShLljMsH139P+HHoa/vJubbF1CHL1yhSiIkxsP+i7YuWCMJEtFU1EmU3cmDPJQ9DWw9o06dj5vg1MEITQ5OlPwq4fetx0S346wyOqT5Yp+AIZ2HmJ02191DR1sylUi5I3vAm/vwFcg/DhbbBsvb8jEgTv8o7PwK2PaE/2tn7a39EYQpwlgnXLF/JcdbPh0zEFwROuEZVnKpvYsGIhifMiPTe66zG441HfBiYIQmiiKJB7O5zYBb36mnarFyVwaUocW3w4HdNIZGDnJXaMjvRvyAmu9XXTou55ePQWiE7SCo8vsvs7IkEwBvudcNfjcO13/B2JYWzMTeNM1wCVDsOTLAqCjtITbbT2ONmcn+G5wchoseCoWN8FJQhCaJN7O6gubVbOBBRFYbM9nTfr22nq7Pfw4eAi7AZ2CQkJhux3R3UzazISybTOM2T/RnJRJwf+An97HyzM1gZ11izfBeZHjOonwUzYOLn0Gq2fqyo89wA0ll+0ebB5uXZVKhEmZXxNsBEEmxNBwxfnbUtFE7FRZq5ZlaLfOOLSatft+7XhccwE6c96xIkecaInYJyk5sDCVaNlVPTcMrre95lK49/aGe0k7AZ2BQUFXt9nU2c/FQ2dbFwTnG/rJnVS9QRsuQ+yroQPbYM4DzfiEMWIfhLshJ2Tc2/B4WfhxM6LNgs2L4nzIrni0gVsrz6DUYkWg82JoGH0eXMOu9hefYYbctOIjvSQGW6wVytxkLzU0DhmivRnPeJEjzjRE1BOcm+H029oeSImsGR+LPmZST6Zjmm0k7Ab2JWVlXl9n2NPvjcGWTbMMSZ1svxaKPkC3PUEWOJ9G5SfMaKfBDth5yQuBT7xGpR8Xvt7v+dMksHoZWNuGg3t/dQ0GZMkJhidCMaft521b9EzMDz5NMzoRLjl57DiRkPjmCnSn/WIEz3iRE9AORkrn1LzT4+bN+enc+hMN0dbegwNw2gnYTewW7t2rdf3uaP6DCvT4slaEJxrAtycDA9qxZqHBiAmGa79NkRE+S84P2FEPwl2wtJJTJK28LrtOPy8APY+rGsSjF6uz0nDbFLG1wZ7m2B0Ihh/3rZWNDE/NoorLvGQ7XJ4EBrLtCnQAYb0Zz3iRI840RNQTuZfAumXaeVUPPDOvEWYFNhq8HRMo52E3cCutFRfx2IutPYMsP9UR9C+rYMJTk69Dq98H4696L+AAgBv95NQIKydJGTA0ivg+Qe0YuYXEIxerLFRFGVZ2VHdbMh0zGB0Ihh73noGhnjpcAs35S0iwuzhq8eJV+G3V8Pxlw2LYbZIf9YjTvSIEz0B5yT3dq0Gc9tx3aaU+GiuuHQBWyqaDFumAMY7CbuBXX+/dzPePF/TgqrCpiBdXwcTnFxyFXyqFFbd7L+AAgBv95NQIKydREbDex6Fgg9qb7Rf/9n4pmD1snHNIk68dY6jrb1e33ewOgl3jDxvLx5qwTk8wi2TTcOsfkrLvLx0nWExzBbpz3rEiR5xoifgnOTcBomLofO0x8232NM53d5HpaPLsBCMdhJ2Aztvs+PgGS5ZGMvy1CBeg6aqsO2LcPQl7e8LV/g3HkEIRExmuOkh7cbw4reg/E/+jmhO3JCTiqIgxcoFn7CloglbcgwFi5P0Gwf74Mg2WH1LWE79FwTBRyRmwL9XaS8xPHBDbhpRESa2VDT6ODDvIQO7OdDW66S0vj24i5KrKpcc/z/41/9q6xsEQZgckwlu/Q1ccjU881kta2aQkhIfzduWWA0teyAIAGd7new5dpbN+ekoiqJvcPQFLSNm7u2+D04Q9kNCFwAAIABJREFUhPBCUcA1DE79bJWE6EiuWZnCM5VncI0E3nrf6SADuznw4qEWXCMqN+YG7zRMXn+ITMfT8LaPw/qv+DsaQQh8IqLgzj9Dxlp48iMkdVT5O6JZc2NuGkeaezjxlvenYwrCGNsPal+SJs2GWf0kxKbA0it9G5ggCOHH0AA8lAuv/cTj5s356ZztdbL3eJuPA/MOYTews9vtXtvXjupmFlvnsXpRgBRgnCll/wcvPchg9i2w8b+0pxgC4N1+EiqIkwuIioW7HgfrMuyHfwTdwTmdceyh1A4vv7WTvhKcGHXetlQ0sTItnmxPSxYGuqHuBci5VZvuHIBIf9YjTvSIEz0B6SQyGt72Ua1Gswc2rEgh3hJh2HRMo52E3cCup8c79Sm6+oZ4/dhZNq5J8zy1JNA5tBWe/Txcei3NxQ9qU8yEcbzVT0IJcTKBeVa45x+0v+2LkBCc07HTk2LIz0zyetkD6SvBiRHnraG9j7JTHdySn+65Qe12cDkDehqm9Gc94kSPONETsE7WfVlbUuGB6EgzN+Sm8Vx1MwNDLq8f2mgnYfdtPjo62iv7eelwC8MjanCWOTixC576KGQUwh1/JDo2iBO/GIS3+kkoIU48kJCOy/5+7eemCugKvgXXG3PTqG7spqG9z2v7lL4SnBhx3sZqQt2cN8nA7uCTWpa6zMu9fmxvIf1ZjzjRI070BLSTtuNwzHN5lc356fQ4h9lZ2+r1wxrtJOwGdi6Xd0bfO6rPkJ4Yjd2W6JX9+YzGcvj7XTD/UrjrMYiK9ZqTUEKc6BEnnnG5XDDs1K6rZz7n73BmzNjDKW++tZO+EpwYcd62VjRRuCSZTOs8/cZhJ7QehtxbA3opgPRnPeJEjzjRE9BOXvwWPH0fjOhjLF42nwVxFrZUeL9YudFOwm5gV1tbO+d99DqH2X30LDfmLgq+aZgdJyEuFd7/D20qGd5xEmqIEz3ixDO1tbUQYYF3/wFu+bm/w5kxi+fPIyc9wavr7KSvBCfePm9Hmrupbelh82TTMCMsWurxdV/26nG9jfRnPeJEjzjRE9BOcm+D3mY49YZuU4TZxE15i3j5SCvdA0NePazRTsJuYOcNXjnSyuDwSHAVJR97IpF7G9y3L2jXBAlCwLK4CBLStWtt36+0txFBwqY1izhwupMzXQFWTFYIarZUNGE2KZOXBFJVLWGKRZYDCILgY7JvhMhYqH7K4+bN+ekMDo/wfJCVBJKB3Sx49UgrC+KiKFic7O9Qpse5NvjNei1hCkgBWEEwkpOvwXNfhX/c63GKRyByQ04qADtr3/JzJEKoMDKisrWiiSuXL2B+nEXfoPsMPLRm0jUugiAIhhIVCys2wqEt4NK/lcvPTGKxdd74OuFgQQZ2s6CyoZPLFidjMgXJNEyTSZt2OW++vyMRhNBn2Qa4/ntw6GnY9kXtrUSAc8nCOBKiI6hydPo7FCFEKD/dQWNn/+TTMJ09kJoLiZm+DUwQBGGM3Nuhvx1O7NRtUhSFzfnpvH7sLK09A76PbZaE3cAuOXlub9m6B4Y4cfYceRlBkDRl2KkVYoxJhg9sgaVXeGw2VyehiDjRI04849HLOz4DJZ+Hsj/AK9/zfVAzRFEU8mxJVDm6vLI/6SvBiTfP25aKJqIjTVy3epIlCwuz4a6/a/8NcKQ/6xEnesSJnoB3cuk1EJ140emYIypsq/JecjGjnYTdwG6uhQGrR7/45GUmeSMc4xhxwVMfg7++R/v5IkleArKApJ8RJ3rEiWcm9XLNt6HgA/Da/4O9D/s2qFmQZ0uktrnHK3V7pK8EJ946b0OuEbYdPMO1q1KJs0ToG5xrg84GrxzLF0h/1iNO9IgTPQHvJMICq26Gw8/CkH6N+aUp8axelODV7JhSoNzLlJWVzenzlWMDu0B+Y6eqWvHxw1she6O2OP0izNVJKCJO9IgTz0zqRVHgpoe0m8bzD0Dl330b2AzJsyUxPKJy6Ez3nPclfSU48dZ523PsLO3nBtmcn+G5Qfn/aevrelq8cjyjkf6sR5zoESd6gsJJ7rthsAeOvuhx8+b8dCoaOjnVds4rhzPaSdgN7NauXTunzx9s7GSxdR7JsQGcgOSV70L5o3Dll6D4vimbz9VJKCJO9IgTz1zUi8kMt/8OstZr9XJqd/gusBliz9QeVh30wnRM6SvBibfO29aKJhJjIlmfvdBzg4NPaQXJ41O9cjyjkf6sR5zoESd6gsLJ0ivBugx6PGe/vNmurRPe6qW3dkY7CbuB3d69e+f0+cqGLtYEclHyN34Jr/0E1n4Yrv7GtD4yVyehiDjRI048M6WXCAu89y+wKA9e/X7AZspMS4hmQZyFSi8kUJG+Epx447wNDLl4vqaZTWvSiIrw8BWj9TC01mhJC4IE6c96xIkecaInKJyYI+DTZVB0r8fN6UkxXJ5l5Zkq7wzsjHYSdgM7p3P2taXaep00dvZjD9SBXcVf4YWvw+rN8M6fXHRd3YXMxUmoIk70iBPPTMuLJR7ufgrueXrKqdH+QlEU7LZEryRQkb4SnHjjvNU0ddE36GLDihTPDar/AYoJVr9rzsfyFdKf9YgTPeJET9A4MY0Oh5y9HjdftSKFupZe2s8NzvlQRjsJu4HdXBj7wpNnC8DEKbU7YMuntVTrt/02YL88CkLYEjsfYhfA8CBs+xK0Hfd3RDrybEkcf6uXXuewv0MRgpTyU9obX491XlUVqp/Upj4FyTRMQRDChD/fDk9+xOOmgsXa9/4Dpzt8GdGskIHdDKhydKEokBtoiVOaDsATH4L0fLjzL9rUL0EQApPuRqj5B9Tv8nckOvIyE7Xv3o3eKXsghB8HGjrItMawMN7DfehMBbSfgDXv9n1ggiAIF2PlO2HlJo+b8mxJmE0KB04Hfq1XD3mIhcmocnRyycI4z+mb/Yl1GeTfBVd9Ayxx/o5GEISLYc2CT++HeVZ/R6JjLNtvlaOTty+b7+dohGCk/FQnl2dN0rcPPgmmSFh5k2+DEgRBmIpCz2/rAGKizKxaFE+5vLELPAoKCmb1OVVVqXR0kRdI6+tcw1oB8uhEuOm/tales2C2TkIZcaJHnHhmVl7GBnX1r8Geh7wb0ByYH2chIylmvKzLbJG+4o6iKL9TFGWvoiiTZrSa2EZRlERFUXYoivKCoij/VBTF8FTMcz1vTZ39NHcPjE9bcmNkBGr+qRUEDsCHGhdD+rMecaJHnOgJOid97ZNmry5YnExlQyeuEXVOhzDaSdgN7Nrb22f1uebuAc72OrEH0vq6l74Nv78BBvvmtJvZOgllxIkeceKZOXmpflK7jg8/472A5og9M5GqOWbGlL5yHkVRbgPMqqoWA8sURVk+zTZ3Az9VVfV6oBm40ehY53rexp5mFyzxsL6u7Rj0tWk1o4IM6c96xIkecaIn6JyU/hr+9j6PpQ8KFidzbtBFbXPPnA5htJOwG9jFxc1uqmJlg/YEO6BKHSy5Ai65CqLmzWk3s3USyogTPeLEM3PycuOPIL0A/vlJeKvOe0HNgTUZSTS099Mxh+xf0lfc2AA8PvrzC0DJdNqoqvqwqqpjFXMXAq0GxgjM/byVn+okOtLEqkUJ+o0Ls+HLx2DVzXM6hj+Q/qxHnOgRJ3qCzknObYAKh7boNo0lhJrrdEyjnQTYYjHjmW2a0SpHJxEmhdWebli+ZngQIqK0RZ6TLPScCUGTjtaHiBM94sQzc/ISGQ13/gl+sx4euxs+/opWGsGPjJVzqWrsmrzA9BRIX3EjFmgc/bkd8DQPZ9I2iqIUA8mqqu6b+CFFUe4F7gVIT09n586dbtvT0tLIysqirq6OnJwcdu/erTtwcXEx9fX12Gw2Tp8+TXV1tdv2jIwMbDYb9fX1ZGdns2fPHt0+SkpKqKurY//JNpZbLbz+mvtxMjMzSU1NxeFoJCsri70T4gRYt24dNTU1ZGdnU19fT3Oz+xPzpUuXYrVaaWlpwWazUVpaOtEF69evp7KykpycHOrq6mhtdR8LL1u2jPj4eNrb20lNTWX//v1u2yMiIigpKaG8vJz8/Hxqampoa2tjaGiIyMhIAJYvX47FYqG3txer1Up5ebnbPiwWC8XFxZSVlbF27VoqKyvp6HD/IrhixQrMZjMDAwPEx8dTWVnptj0mJoaioqLxfZSXl9Pd3e3WZvXq1bhcLkZGRrBYLLrzFhcXR2Fh4fg+9u/fT2+veyr33NxcnE4nJpMJs9nMoUOH3LYnJCRQUFAwvo/S0lL6+/sBxp3Y7XZ6enqIjo7G5XJRW1vrto/k5GTsdvv4Pvbu3av796GgoID29nbi4uJwOp0cPXrUbfv8+fPJycmhoqKCgoIC9uzZw/Cwe+bewsJCWlpasFqt9PT0cOLECbftKSkpZGdnU1NTg91uZ9euXaiq+5S6oqIiHA4HqamptLe3c/LkSbftU11PQ0NDrFu3bvx6amlpoaGhwa3NTK6nrKwsHA4HjY2NbtvPX08O7XryUBctUK6nrKws3fV0IYF3PcWTOn8l517/HQf6V4xvj4uLY+3atSRaTJSf7mBlxFuzvp4OHz7MlVde6XY9jTGT62lSVFUNmj9r165V58qrr746q8/d/dt96qaf7Z7z8edMX7uq/nytqpY96rVdztZJKCNO9IgTz3jFy4ldqvpgsqr+/W5VHRmZ+/7mQFf/oLrk/mfVn79UN+t9eMMJsF8NgPvOXP8APwPePvrzbcDXptsGsAL7gSVTHcef90dVVdX+wWH10q9tU3+w/ZB+47GXVfXX61T17LHZB+dH5N8+PeJEjzjRE5ROdv9EVb+doKrtJ3WbPvbov9QNP351Trv3lpPJ7pFhNxVzNqiqSpWj0//160ZG4B/3QsdJWLBiyuaCIAQJWevguv/Q1tq97t9kKgnRkSxbGEuVlDzwFmWcn35pB05Op81ospQngAdUVT1ldJBzpaapmyGXOnn9Oks8JGT4PjBBEISZkHub9t+af+g2FSxOpv7suTktVTAaGdhNg1NtfXQPDPs/I+auH8HRF+DG/4TFRf6NRRAE71L8KW1+/8v/Acdf8WsoeRlzT6AijPM0cI+iKD8F7gBqFEX53hRttgEfRZuS+XVFUXYqinKnL4OeKWOFey/zlBHz0mvgQ89qU48FQRACmeSlkFEI1U/pNo39+3agIXDLHsjAbhpUjn7B8evArvY52PVDsN8Fb/uY/+IQBMEYFAU2/xIWroSnPg7O3qk/YxB5tiRaup20dA/4LYZQQVXVbrTkKPuAq1RVrVRV9RtTtOlSVfVXqqomq6q6YfTPY76OfSaUn+7AlhxDSvyEwVuXAwa6PX9IEAQhEFnzbmg+qEtqlmdLxGxSKD8VuA8+w25gN3/+zGu9HXR0YYkwkZ3qp6QGbce1KZiL7HDTT7UvgF5kNk5CHXGiR5x4xqteomLhzj/Drb8Bi/+yidkztYdYlQ2zu3lJX3FHVdUOVVUfV1VVn0N7Bm2MZi7nrfxUp+dpmC9+Cx5+u7aUIEiR/qxHnOgRJ3qC1snqdwGK7q3dvKiIORcqN9pJ2A3scnJyZvyZKkcXq9MTiDT7QZezF/5+N5jM2he+yBivH2I2TkIdcaJHnHjG617mXwLLr9V+bqnR1if5mNWLtKeSB2e5zk76SnAy2/M2aWHywXNasd/l14MpeL9uSH/WI070iBM9QeskYREsWw+9nuvZzaVQudFOgvdf2llSUVExo/auEZXqpi7/FCZXVdj6aThbC+/+PSQtNuQwM3USDogTPeLEM4Z5Ob0Pfl0CVb6fgRcTZWZ5ShyVjtkN7KSvBCezPW+TFiav3QFDfdq0piBG+rMecaJHnOgJaid3PwU3/0z367kWKjfaSdgN7AoKPJUQmpxjrb30Dbr8s76u8xQcfxWu+bZWiNwgZuokHBAnesSJZwzzYrtcy5S58iZj9j8FdlsSVY5OXa2n6SB9JTiZ7XmbtDB59T8gfhEsLvZCdP5D+rMecaJHnOgJaifm0VLfQ+5rzedaqNxoJ2E3sPNUDPJiVI0nTvHDG7vkpXDfPrjic4YeZqZOwgFxokeceMYwLyYTvOMz2lq7wXPQ+5Yxx5mEvMxEOvuGaGjvn7rxBKSvBCezPW8HGjrIy0hyX67Q3wnHXtQyvZrMXorQP0h/1iNO9IgTPUHv5OXvwsNFbksiMq0xLIiL4sDp2a1BN9pJ2A3shoeHZ9S+ytFFnCWCZQtiDYrIA50NsPd/tI6UsMjryVImMlMn4YA40SNOPGO4F1WFP26Gx+6GYd/Vzhmbfl7VOPObl/SV4GQ258057KKmsVtf5uDIs+AahNzbvRSd/5D+rEec6BEneoLeia0Q1twBw+ff2imKQn5m8niJl5litJOwG9jNlCpHJ7kZCZhMxg6u3DjwJ3j1P6G70XfHFAQhMFEUePt90FAKz3/NZ4fNTo0nymyiapbr7ITwoLqxm0HXCJdNzIhZ/dRoPaggnoolCEJ4s2IjXP11XeLCgiVJnAjQQuUysLsIg8MjHD7T4/vEKRsegH/bBYk23x5XEITAJPc2bVrmv34LFX/1ySGjIkysSk+YdckDITw4MJ445YL7ZO9bcGKX9rbO4BkngiAIhjI8CHXPg+v8m7axdXaBWKjcsIGdoii/UxRlr6Io35hke6KiKDsURXlBUZR/KooSZVQss6W2uYdB1whrfJU4peZprWadomgpzwVBEMa45kFYeiU8+3lo8k2mMbstkerGrlmndRZCH4+FyU+/AaoLcoM7G6YgCAJ1O+Cvd8DJ18Z/FciFyg0Z2CmKchtgVlW1GFimKMpyD83uBn6qqur1QDNwoxGxTKSwsHDabStHE6f45I1dw7/gqY/BK981/lgTmImTcEGc6BEnnvGZF3MEvOf/YN4CeOwe6Gs3/JBrMhI5N+ii/mzvjD4nfSU4mc1581iYfPVm+MIRSF3tpcj8i/RnPeJEjzjRExJOll8PUXFuxcrnUqjcaCcRBu13A/D46M8vACXA0QsbqKr68AV/XQi0etqRoij3AvcCpKens3PnTrftaWlpZGVlUVdXR05ODrt379bto7i4mPr6emw2G4cOHaKvr89te0ZGBjabjfr6erKzs8cz1jx/0ElcJByrLGXRlVdSV1dHVlYWDoeDxkb39W+ZmZmkpqbicDjIyspi7969ujjWrVtHTU0N2dnZ1NfX09ysFT6MHOykcP/nMc1LoX/dd2g5ehSbzUZpaelEF6xfv57KykpycnKoq6ujtdVd27Jly4iPj6e9vZ3U1FT279/vtj0iIoKSkhLKy8vJz8+npqaGpqYmLBbLeJvly5djsVjo7e3FarVSXl7utg+LxUJxcTFlZWWsXbuWyspKOjrcO/eKFSswm80MDAwQHx9PZWWl2/aYmBiKiorG91FeXk53d7dbm9WrV+NyuRgZGcFisVBdXe22PS4ujsLCwvF97N+/n95e9y+gubm5OJ1OTCYTZrOZQ4cOuW1PSEigoKBgfB+lpaX09/fjdDrHndjtdnp6eoiOjsblclFbW+u2j+TkZOx2+/g+9u7di9PpdGtTUFBAe3s7cXFxOJ1Ojh51uxyYP38+OTk5VFRUUFBQwJ49e3QLbAsLC2lpacFqtdLT08OJEyfctqekpJCdnU1NTQ12u51du3bpUtUXFRXhcDhITU2lvb2dkydPum2/2PU05uTC66mlpYWGhga3fUx2PV1ISUmJYdfTGEuXLsVqtdLS0mLo9bRo0SLq6urGr6e2tja3Nt6+npI2/g9xj99O529vpSrvW6CYDbueBs9o+3jsxX1ckRE57etp//79bNiwYfx6upDpXk+C72lpaSEuLm7a7SctTA5a4q8QYaZewgFxokec6AkJJ5ExsPKdcPgZuOm/wRwJaNMxnypz4BpRMc8gD4fRTpTZ1CiacqeK8jvg56qqViqKcj1QoKrqDydpWwx8T1XVa6bab2FhoTrxi9VM6ejoIDk5eeqGwI0P7SY1IZpHP3L5nI55UVxDWsa7xnL42IuQtsa4Y03CTJyEC+JEjzjxjF+8lP8Rtn4GSr4A137bsMO4RlTWPPg871lr4zubc6f9OW84URSlTFXVEHjc6xt8fX8E2FZ1hk/9tZwtn7oCe+bo4O7AX+DQ0/Du34Mlfk7xBAryb58ecaJHnOgJGSeHtsLj98AHn4GsdQD884CDzz9WyY7PXamv4XkRvOVksnukUWvseoGxFDJxkx1HURQr8AvgIwbFoaOnZ3qV4vsHXRxt7TW+MPkL34RTr8MtP/fLoA6m7yScECd6xIln/OKl4AOw9kPQcwZGRgw7jNmkkJuRSFXjzDJjSl8JTmZ63spPd2CJmFCYfGRYK3MQFeRP6S9A+rMecaJHnOgJGSeXXA1mC9TuGP/VbAuVG+3EqIFdGdr0SwA7cHJig9FkKU8AD6iqesqgOHRMnL42GTVNWsIAQwuT1/wTSn8FRZ+EvDuMO84UTNdJOCFO9IgTz/jNy6afwLt+pRUyN5C8jEQONXUz5Jr+AFL6SnAy0/NWfrqDPFsiUREX9MG1H4QPbAmpbJjSn/WIEz3iRE/IOLHEwbL1cGTbeLHyxdZ5zI+NmnECFaOdGPWN4GngHkVRfgrcAdQoivK9CW0+ChQAX1cUZaeiKHcaFMusGKvdZNgbu+4meObfIWMtXO/7hCmCIAQ55gjty3NLDWz5tFsqZm+Sl5mEc3iE2uYQefIqeIWxwuRuiVP62g3rh4IgCH5lxSboPAWthwFtnf5li2dfqNwoDBnYqarajZZAZR9wlaqqlaqqfmNCm1+pqpqsquqG0T+PGRHLbKlydJKaYCE1IXrqxjNFVbUvYsNOuPWR8YWYgiAIM6b1MNQ9Bx31huzePvpwSwqVCxfisTD5cw/Aw0XjT7QFQRBChuzR5P2128Z/FYiFyo3Kiomqqh2cz4wZdFQ5uoydhrlio5YSesGlxh1DEITQJ/d2WH4dRBszu2CxdR6JMZEcbOwEFhtyDCH40BUmdw3D0edh+Q0hNQ1TEAQB0DL9Zqwdf2MH7oXKr16Z6q/I3DB2cUYAkpKSMmWbrv4hTpw9N/6k2quoqnbTu/zj2lqEAGA6TsINcaJHnHjG714URRvUuYbhzd/C0ICXd6+QZ0uksmH6b+z87kSYFTM5b7rC5A37oL8DVm4yKDr/If1ZjzjRI070hJyTD2zRMv6OMptC5UY7CbuBXXZ29pRtahrH1td5+Y2daxj+fLuWNCWAmI6TcEOc6BEnngkYL45/wfYvwSveX7ObZ0uktqWHgSHXtNoHjBNhRszkvB043ek+DbN2B5ijtOxxIYb0Zz3iRI840RNyTiaUcJkXFcHKtHgONEx/nZ3RTsJuYFdTUzNlm8rRtSRrMrz8xm6gEwZ7YWR6X458xXSchBviRI848UzAeFlSDIUfhb3/A/WveXXXebYkXCMqNU3dUzcmgJwIM2K65+1MVz9nui4oTK6qWra4rPUhU7vuQqQ/6xEnesSJnpB08vzX4cmPjv+1YHEyFac7cY1Mb22x0U7CbmBnt9unbFPl6GSxdR7JsVHePXjsAvjwc7Dm3d7d7xyZjpNwQ5zoESeeCSgv138XrMvg6U/CgPeSndhHZy8cdExvuklAORGmzXTP29i0o/GMmG/Vasl7Vmw0KjS/Iv1ZjzjRI070hKST6CSYZx3/a8GSJM4NuqhrmV7maKOdhN3AbteuXVO20RKnePFt3VA/7Lgfet8yvObUbJiOk3BDnOgRJ54JKC9RsXDrb6C7EXZ81Wu7TU2wsDDeMu3MmAHlRJg20z1vusLkY1niQnRgJ/1ZjzjRI070hKST9V+GTT8e/+tMC5Ub7STwRhkGo06Rhvlsr5PGzv7xJ9Re4eX/gNJfQ8tB7+3Ti0zlJBwRJ3rEiWcCzkvm2+DKL0LlX+HwM17ZpaIo2G2JVE7zjV3AORGmxXTPm64wee0OSL8MEtINjM5/SH/WI070iBM9IetEVaHLAcy8ULnRTsJuYDcVB8fW13nrjd2JXbDvYbj83pBcVC4IQgCy/n5YZIdnPgc9LV7ZZZ5Nq9fTMzDklf0JwYmuMHlvKzj2w4p3+jcwQRAEX7HjK/DrK8E1HHCFymVgN4FKRyeKArneSJzS3wlP3wfzL4VrvzP3/QmCIEwHcyTc+gg4e+GZz3qlYPQaWyKqqhWmFsIXXWHy2IXwb7vhsrv9G5ggCIKvWPIO6G+HhlIgsAqVy8BuAgcdXVy6MI44ixdqt++4H3rOaF+woubNfX+CIAjTJWUlXPugtsZ3sHfOuxubnl41zemYQmgyXph8LCOmosCivJCdhikIgqDj0mu18i612wG4LFN70FXR4P/7Y9gN7IqKiibdpqoqlY4u70zDPLQFqv4O674EtrVz35+BXMxJuCJO9IgTzwS0l6JPwD1PeyUFvTU2CltyzLQSqAS0E2FSpnPeDpzuJCMphpSEaBg8B1s/Cy0hmNL8AqQ/6xEnesSJnpB1YomHpVdqAztVxZ45Wqh8GtMxjXYSdgM7h8Mx6bYzXQOc7XXOPXFKTzM88+/aYvJ1X57bvnzAxZyEK+JEjzjxTEB7MZm0P12N8MI351xD025Loqpx6ieSAe1EmJTpnLfy0x0ULBkrc3AEav4J584aHJl/kf6sR5zoESd6QtrJyk3QfgLeqh0vVD6dgZ3RTsJuYJeamjrptrEpRnMqdaCqsPUzMNSnTcE0R85+Xz7iYk7CFXGiR5x4Jii8nHod/vW/c36zssaWSEN7P+1TrCMICieCjqnOm64wecZa+PJxWFrig+j8h/RnPeJEjzjRE9JOskfLu4xOx5xuoXKjnYTdwK69vX3SbVWOLiJMyvnaPLNhxAWpuXDdd2Fh9uz340Mu5iRcESd6xIlngsLLmvfAZ8q1tVBzYOyh11Tr7ILCiQ9RFOV3iqLsVRTlGzNpoyhKqqIor/kmyqnPm1th8rGEPBFRYDIbHZpfkf6sR5zoESe5avzZAAAd70lEQVR6QtpJYgYsyj8/sJtmoXKjnYTdwO7kyZOTbqtydLEiLZ7oyDncpMwRcO23oeje2e/Dx1zMSbgiTvSIE88EhRdFgYRF2pfxmqdh2Dmr3azJSERRmHKdXVA48RGKotwGmFVVLQaWKYqyfDptFEVJBh4FYn0V61Tnza0w+el98MvLQ359HUh/9oQ40SNO9IS8k5Xv1Mq99LRMu1C50U7CbmA3GaqqUuXoJG+26+tGXPDEh6F+t3cDEwRB8BZN5fDEB+GV783q4/HRkSxbEDutBCrCOBuAx0d/fgHwNG/RUxsXcCcQMPUlyk93sCZjtDB57TZtfUlipr/DEgRB8A8rNgIqHH2BxdZ5WGdQqNwovJDTPzQ41dZH98Aw9tmur+s5A81VWuIUQRCEQCRjLaz9ELzxC8i+EZZeMeNd5NmSeP1YaCfL8DKxQOPoz+1AwXTaqKraDaAoyqQ7VhTlXuBegPT0dHbu3Om2PS0tjaysLOrq6sjJyWH3bv2Dx+LiYurr67HZbDidTt0+MjIysNls1B07QXVjF9dkRrBz504uP/AUA4k5VO0rp6SkhLq6OrKysnA4HDQ2NrrtIzMzk9TUVBwOB1lZWezdu1cXx7p166ipqSE7O5v6+nqam93vpUuXLsVqtdLS0oLNZqO0tHSiC9avX09lZSU5OTnU1dXR2trq1mbZsmXEx8fT3t5Oamoq+/fvd9seERFBSUkJ5eXl5OfnU1NTQ1tbG729veNeli9fjsViobe3F6vVSnl5uds+LBYLxcXFlJWVsXbtWiorK+nocH+Cv2LFCsxmMwMDA8THx1NZWem2PSYmhqKiovF9lJeX093tPr5fvXo1LpeLkZERLBYL1dXVbtvj4uIoLCwc38f+/fvp7XUve5Kbm4vT6cRkMmE2mzl06JDb9oSEBAoKCsb3UVpaSn9/P8C4E7vdTk9PD9HR0bhcLmpra932kZycjN1uH9/H3r17cTrdZwwUFBTQ3t5OXFwcTqeTo0ePum2fP38+OTk5VFRUUFBQwJ49exgeHnZrU1hYSEtLC1arlZ6eHk6cOOG2PSUlhezsbGpqarDb7ezatQt1Qn3PoqIiHA4HqamptLe3696sTHU99fb24nQ6x6+nlpYWGhoa3NqMXU/19fVkZ2ezZ88eJhJK1xOgu54uJOivJ1Ul4bIf0t2VTm5bG6tSovlX/Vu0trZOej319fUBuF1PY8zkepoUVVWD5s/atWvVufLqq696/P3TBxzqkvufVasbO2e/86EBVR0Zmf3n/cRkTsIZcaJHnHgm6LwM9KjqQ3ZV/e9cVe3vmvHHf7/nhLrk/mfVM539k7bxhhNgvxoA9525/gF+Brx99OfbgK/NpA2wczrHMfL+qKqqWnaqXV1y/7PqjoNNqtpaq6rfTlDV0kfmfMxgIOiucR8gTvSIEz3h5uSXrxxVl9z/rNpxzjlpG285meweGXZTMdPS0jz+vsrRhSXCRHbqDOs9DQ3Arv/S6vlEWLS1LEHGZE7CGXGiR5x4Jui8WOLg1t9AlwOef2DGH8+bRqHyoHNiLGWcn35pB07Oso3hXOy8lZ8aK0yerE3DhNFpSKGP9Gc94kSPONETFk76O2HHV+H4q+Pr7A6c9t/9MewGdllZWR5/X+XoJCc9gUjzDJW8+j149fvQ8KYXovMPkzkJZ8SJHnHimaD0srgIrvh3OPBnOLJ9Rh9dvSgBs0m56Dq7oHRiHE8D9yiK8lPgDqBGUZSJixwnttnm4xiBi583t8LktTtgkR0SbT6Mzn9If9YjTvSIEz1h4SQqFmr+Aa2Hp1Wo3GgnYTewq6ur0/3ONaJS3dg988QpJ/fAG7+Ewo/AJVd5KULf48lJuCNO9IgTzwStlw0PQOoaeOazMyowHRNlJjs1nsqLvLELWicGoGpr5TYA+4CrVFWtVFX1G1O06bpg2wZfxXqx8zZemLy3VXuQueKdvgrL70h/1iNO9IgTPWHhxBwJn6+B4vumVajcaCdhN7DLycnR/e5Yay/9Q66ZFSYf6IZ/fhKsWXD97DLMBQqenIQ74kSPOPFM0HqJiILbHoGBLnjmc+frkk0Duy2Rg41duuQDYwStE4NQVbVDVdXHVVWdNLvWdNoYzWTnza0wed1zgBo20zBB+rMnxIkecaInbJyYI7X/joxMWajcaCdhN7DzlBVs7MnzjN7YPfcAdDvg1ke017BBjCcn4Y440SNOPBPUXlJXw9XfhPZ66L947Z0LybMl0dk3REN7v8ftQe0kjJnsvI2l775scbI2DTNxMaSt8WVofkX6sx5xokec6AkbJyMj8Psb4eUHuWzxxQuVG+0k7AZ2njjo6CLOEsGyBdMcoB3ZDhV/hpIvQObbjA1OEATBSIo/Dfe+CvOs0/7I2OyGi03HFEKHscLkqxclwOUfh+seDMpEYYIgCIZgMkFkDBzZNu1C5YaF4pejBhhVjk5yMxIwmaZxo3L2wLYvamtT1t9vfHCCIAhGYjJpGX37O+HN305rSuaKtHiiIkwXzYwphA4HLixMfsnVkHu7v0MSBEEILFZsgrZjLFEbscZGXTQzppGE/cBucHiEw2d6sE93Guar/6kVI7/5IW2NiiAIQihQ9Rjs+Aq0HpqyaaRZe3tTeZHMmEJo4Bx2Ud3YrSVOOfwMnKmc+kOCIAjhxui6Y6V2OwWLk+SNnb840tzNoGtkeuvrVBUGOqHww2ArND44QRAEX1H4Efi31yB1egu77bZEahq7Jl0gLoQGNU3aPbIgMxG2fQle/5m/QxIEQQg8Em2Qlge127lscTIn3jpHZ9+gz8MIu4FdcXGx29/HajFNKyOmosC7HoZN/8+I0PzGRCeCOPGEOPFMyHgxR0JarvZz5+kpm6+xaQvET7zVq9sWMk7CDE/nbbww+RIr3LcXrvm2r8PyO9Kf9YgTPeJET9g5WflOaHiTyxe6AM+Fyo12EnYDu/r6ere/Vzk6SZ4XiS055uIfPLIdmg9qP5vMBkXnHyY6EcSJJ8SJZ0LOS8Vf4eeXQUvNRZvZxxOo6KdjhpyTMMHTeXMrTD7PCslL/BCZf5H+rEec6BEnesLOyYpNgEpe/z5MiucEKkY7CbuBnc1mc/t7laOLPFsSysUyfI244MVvwQvfmLxNEDPRiSBOPCFOPBNyXrJvhOhEePbzWgrnSVi2MI7YKDMHPSRQCTknYYKn81Z+uoPLFifB0/fB4Wf9EJX/kf6sR5zoESd6ws5J2hpIzMRy7HlWpiV4HNgZ7STsBnYtLS3jP/eP1pmwTzUN02SGj74At/zS4Oj8w4VOBA1xokeceCbkvMyzwnXfhYZSrazLJJhNCrkZiR7f2IWckzBh4nkbK0y+YX43VPwFupv8FJl/kf6sR5zoESd6ws6JomhJVI6/QlFmtMdC5UY7CbuBXUNDw/jPNU1djKhTFCbvcoBrWPuyk5Tpgwh9z4VOBA1xokeceCYkveTfBYvfoc1UONc2abM8WyKHznQzOOz+Zi8knYQBE8/b2PqQYlep9osVN/o6pIBA+rMecaJHnOgJSycFH4Rbf4U9cz7nBl0cbXUvVG60k7Ab2F1I5VSJU4YH4U+3wZMf8l1QgiAI/kZR4KafanU7X/rWpM3ybEkMDo9Q19IzaRsheCk/pRUmX3TmFW2KUdJif4ckCIIQ2KTlQs6t5GelAlB+yrf17MJ6YFfl6CQtIVpbFO6Jvb+As7Vw2Qd8G5ggCIK/SVkFxZ+CA3+GU3s9Nhmr/1kl9exCkvLTHVyxSMXkeHM0KYAgCIIwJZ2nWVL3B+bPi/B5PbuwHtgddHRN/rau4yTs+jGsuhmyr/dpXIIgCAHB+vshMRO2fQFcQ7rNmdYYkuZFUuUhgYoQ3IwVJr81rgbUERnYCYIgTJeGN1Fe+Dq3pLXLwM5oMjIyAOjqH+LE2XOeB3aqCtu/AooJbvyhjyP0PWNOhPOIEz3ixDMh7SUqFjb+F7Qegn/9r26zoiis8ZBAJaSdhDAXnrexwuRvc5ZCQgYssvsxMv8i/VmPONEjTvSErZMVG+Hzh1iw/G26QuVGOwm7gd1YmtHqxrH1dR4Spxx5Fo4+D1c9oFWSD3HCLh3tNBAnesSJZ0Ley8pNcNN/g/19HjfbbUnUtfTQP+ga/13IOwlRLjxv5ac6sDBIause7UvKxUoChTjSn/WIEz3iRE/YOomKhcQMrVQM7oXKpdyBlxkrDFg1WeIUZy/suB9Sc6HoE74Ozy+EXQHJaSBO9IgTz4SFl8KPQEySVtNzAnm2RFwjKofOdI//LiychCAXnrcDpzu5Jb4OZbhfG9iFMdKf9YgTPeJET1g7aT3C5fs+RZbS7DYdUwqUe5ns7GxAS5yyZP48kuZFuTfY9UPoboR3/hTMkX6I0PeMORHOI070iBPPhI2Xzgb4dQkc2e7267zxBCrnn0iGjZMQ48LzduB0B4vS0mD1Zlh6pR+j8j/Sn/WIEz3iRE9YO4maR8TR57grqdrtjZ3RTsJuYLdnzx5Ae2O3JmPC27qzx2Dvw1DwAVhc5Ifo/MOYE+E84kSPOPFM2HiJT9PWWkW4PwxLS4wmJd7ilhkzbJyEGGPnrblrgKauAZJWrIM7/ggRFj9H5l+kP+sRJ3rEiZ6wdpK0GFLXcJ2pjIqG84XKjXYSdgM7gLO9Tho7+8dTdY9jXQa3/AKu/Y5/AhMEQQhUzJHw/ifh0mt1m/JsSZIZM4QoP93BQjoomt/v71AEQRCClxUbWXLuIJHOdl2hcqMIy4HdQU/r61zDYDLBZXfDPKufIhMEQQhwhp2w67+g5dD4r+y2RE6cPUfPgL4kghB8lJ/q4KNRL7D6iSthoHvqDwiCIAh6Vm5CYYSrTRU+K1QelgO7SkcnigI5Y1Mxz7XBL9fC4Wf9G5ggCEKg4+yFfQ/Dti9qpWGANbZEVBUONkqh8lCg/HQHBxfegvKuX0F0gr/DEQRBCE4W5aPGp7Mp6oDP6tmF5cCuytHFpQvjiLNEaL8Y7of5y2H+Jf4NTBAEIdCJna9NVz/9BlT8FbgwgYoM7IKdscLk6ctWQ94d/g5HEAQheFEUlBUbuUKp5OCpFp8cMuwGdldccQVVji73+nWJNm3tSMoq/wXmR0pKSvwdQsAhTvSIE8+EpZfL7gHb5fDiN6GvHWtsFJnWmPFp7mHpJAQoKSmhpqmbYvUAm0z7xt/IhjvSn/WIEz3iRI84AVZsIlodYFH7m3T2DRruJOwGdm9UHOZsrxN7ZiK4hmDHV7U03mFMXV2dv0MIOMSJHnHimbD0YjJpRcv7O+GlBwHIy0iicjSBSlg6CQHq6uo4cLqTT0ZsJff4I2FdlPxCpD/rESd6xIkecQJkXYkrIpbrTWUcaOg03EnYDew6zdq6ujUZibD3f6D0V9BS7eeo/EtWVpa/Qwg4xIkeceKZsPWSlgtv/ySUPwqnS8mzJeLo6Ket1xm+ToKcrKwsautP8jZTLZGrb/J3OAGD9Gc94kSPONEjToAIC67iz1KuZnPgVIfhTsJuYLf3SCMRJoVV87pg149gxTthxUZ/h+VXHA6Hv0MIOMSJHnHimbD2suEBrbbdti+Qlx4HQFVjV3g7CWIcDgdxp17GzEjY3xcvRPqzHnGiR5zoEScaUdd8lUMpN1F+utNwJ2E3sDvY2MXKRfFEv/g17Rcbf+TfgAKAxsZGf4cQcIgTPeLEM2HtxRKn/RvaUs1lZ/6OomjlZMLaSRBTfbyBQmcp5ywLYdFl/g4nYJD+rEec6BEnesTJea7IUBhoOECDDOy8h6qq1HeNcEdcNdRug/X3Q1Kmv8MSBEEIXlbeBMtvILrlAMsWxEqh8iCmvn2A9aZK+rKu19ZRCoIgCF7h483/wffVX9DYa2xSqrD6l/tkWx/q8AC3t/wMFq6C4k/5OyRBEITgRlHgPX+Ad/8Buy2JSkcXqmRTDEoi36okVnGSlL/Z36EIgiCEFMPrv8aXhj7B8U6XoccxbGCnKMrvFEXZqyjKN+bSxptUOTr5bMQ/iR04o2V0M0f64rCCIAihTVQsKArvsPZg662m0ykDuwuZ7f3Q1/fIpd376VdiiLx0gy8OJwiCEDYsyl1P47yVHOscMfQ4hgzsFEW5DTCrqloMLFMUZfls2nibM0cP8DHzdkbsd8OSYqMPFzRkZsp01ImIEz3ixDPiZRRVZeORB/hB5P/SHZHs72gChtneD319j3QODXH58H5OJr0dIixGHirokGtcjzjRI070iJPzKIrCexY28I6uZww9jlFv7DYAj4/+/ALgqRrfdNp4lWFHGT3mREzXf9foQwUVqamp/g4h4BAnesSJZ8TLKIpCxLt+yb3D9+Poj/B3NIHEBmZ3P5zO57xG3Yl6zqhWBi+VbJgTkWtcjzjRI070iBN3rrEcZo3zAJ29/YYdw6i7bywwlgqnHSiYZRsURbkXuBcgPT2dnTt3um1PS0sjKyuLuro6cnJy2L17t24fxcXF1NfXE5n/Xn7f/HYK/3XQbXtGRgY2m436+nqys7PZs2ePbh8lJSXU1dWRlZWFw+HQZfrJzMwkNTUVh8NBVlYWe/fu1e1j3bp11NTUkJ2dTX19Pc3NzW7bly5ditVqpaWlBZvNRmlp6UQXrF+/nsrKSnJycqirq6O1tdWtzbJly4iPj6e9vZ3U1FT279/vtj0iIoKSkhLKy8vJz8+npqaGxsZGoqOjx9ssX74ci8VCb28vVquV8vJyt31YLBaKi4spKytj7dq1VFZW0tHR4dZmxYoVmM1mBgYGiI+Pp7Ky0m17TEwMRUVF4/soLy+nu7vbrc3q1atxuVyMjIxgsViornavNxgXF0dhYeH4Pvbv309vb69bm9zcXJxOJyaTCbPZzKFDh9y2JyQkUFBQML6P0tJS+vv7GRgYGHdit9vp6ekhOjoal8tFbW2t2z6Sk5Ox2+3j+9i7dy9Op9OtTUFBAe3t7cTFxeF0Ojl69Kjb9vnz55OTk0NFRQUFBQXs2bOH4eFhtzaFhYW0tLRgtVrp6enhxIkTbttTUlLIzs6mpqYGu93Orl27dGudioqKcDgcpKam0t7ezsmTJ922X+x6GnMydj3ZbDZaWlpoaGhw20e4XU8LFiygr69v/Hpqa2tzaxNu19OtVxVB+ylgzfj1dCHTvZ5CiNneD6f8nDfvj0qMld/YfswNZoWOC/YTbtfzxPtjW1ub2/0g3K5nT/dHOH8/kPvjeQYGBrjqqqvk/jiK3B/119O8677Oo9tKWYVpTvfHsrIyJkMxYpG7oig/A/6mquq+0ekkK1VV/cFM20yksLBQndhxZorT6cRikWkmFyJO9IgTPf+/vfsPvauu4zj+fPtjZnPqwjWZlaRF/WGsQPxBKV/XTzERo1hlBhmY/Vj1R6DmohGuQEISYeCvKFgQ+oeCkKX/jJko5gihlX+MNhNrpvlj/fAP3d79ca5s7nO279393nPO95z7fMCXfb/b+X55n9e93/va595zzzGTeuZSmkYmEbEtM8+e0kidmbQPgZXzfd+B7MfmmEvJTEpmUjKT0rQyOVRHNnUo5jb2HzayGtg14TZTV/fMxqwzk5KZlMyknrmUzORNJu3D1jvS262euZTMpGQmJTMpNZ1JU4di3gc8HBGrgIuBz0fEjZm5/jDbnNfQLJIkdWXSPsyav5Mk6ZAaecUuM/dQvfH7MeCizHzyoBKr2+aVJmaRJKkrk/ahHSlJOlKNnbosM19i/xm9Jt5GkqQ+m7QP7UhJ0pFo7ALlkiRJkqR2NHJWzKZM46xf+/bt46ijXM8eyExKZlIyk3rmUppGJkM5K2Zb7MfmmEvJTEpmUjKT0rQyafusmIvW9u3bux5h0TGTkpmUzKSeuZTMpJ+83eqZS8lMSmZSMpNS05nM3Ct2XlOjZCYlMymZST1zKXkdu/bZj80xl5KZlMykZCalvl7HbtHauXNn1yMsOmZSMpOSmdQzl5KZ9JO3Wz1zKZlJyUxKZlJqOpOZW9jt3r276xEWHTMpmUnJTOqZS8lM+snbrZ65lMykZCYlMyk1ncnMLewkSZIkaWhc2EmSJElSz7mwkyRJkqSe69VZMSPieeDpBf6YU4AXpjDOkJhJyUxKZlLPXErTyOT0zFwxjWFmgf3YKHMpmUnJTEpmUppWJrUd2auF3TRExBOeQvvNzKRkJiUzqWcuJTPpJ2+3euZSMpOSmZTMpNR0Jh6KKUmSJEk958JOkiRJknpuFhd2t3c9wCJkJiUzKZlJPXMpmUk/ebvVM5eSmZTMpGQmpUYzmbn32EmSJEnS0MziK3aSJEmSNCiDXdhFxF0R8WhErF/INkMy3/5GxEkR8UBEPBgR90bEkrZnbNu494GIWBkRf2xrri4dQSabIuLStubq2hi/P8sj4jcR8URE3Nb2fF0Y/V48fJh/PzYi7o+IRyLiqjZn06HZj/XsyJIdWbIjS/ZjvS46cpALu4j4DHB0Zp4PnBER751kmyEZc3+vAG7OzE8Au4FPtTlj247wPvBT4Ph2JuvOuJlExAXAqZl5f6sDdmTMXK4EfjU6jfGyiBj0KZ4jYjnwS2DpYTZbB2zLzA8Dn42IZa0Mp0OyH+vZkSU7smRHluzHel115CAXdsAccPfo8weBj0y4zZDMMc/+ZuamzHxo9OUK4J/tjNaZOca4D0TEGuC/VEU+dHPMk0lEHAvcAeyKiMvaG61Tc8x/X/kXcFZEnAy8E3imndE6sxdYC+w5zDZz7M9tKzD4Mu+BOezHOnPYkQebw4482Bx25MHmsB/rdNKRQ13YLQWeHX3+IrBywm2GZOz9jYjzgeWZ+Vgbg3Vo3kxGh9r8ALiuxbm6NM795MvAn4GbgHMiYl1Ls3VpnFx+D5wOfBv4y2i7wcrMPZn5yjybzdrjbB/Yj/XsyJIdWbIjS/Zjja46cqgLu/+w/5CAE6jfz3G2GZKx9jci3gbcCszC+2HGyeQ6YFNmvtzaVN0aJ5MPAbdn5m5gM3BRS7N1aZxcfghck5k/Ap4CvtLSbIvZrD3O9oH9WM+OLNmRJTuyZD9ObuqPtUN9sN7G/peCVwO7JtxmSObd39Ezb/cA12fm0+2N1plx7gMfA74ZEVuAD0bEne2M1plxMtkBnDH6/GzA+0plOfCBiDgaOBfwWjKz9zjbB/ZjPTuyZEeW7MiS/Ti56T/WZubgPoATgSeBm6le8l0N3DjPNid1PfciyOTrwEvAltHH2q7n7jqTg7bf0vXMiyETYBnVf262Ao8Cp3U99yLJ5RxgO9UzcA8BJ3Q9d0vZbBn9uQb41kH/dvook1uAP1C9wb7zmWf5w35cUC52pB1pR06WyUz242jft4z+bKUjB3uB8tHZaD4ObM3q5fCJthmSWdvfcZhJyUzqmctkImIV1TOSv8v532+gFtiP9WZxn+djJiUzKZnJ5KbdkYNd2EmSJEnSrBjqe+wkSZIkaWa4sJMkSZKknnNhJ0mSJEk9d0zXA0izKCK+DzwCvJ/qmjd/Aj5HdQrgAC4H/p2Zr422/w7wXGb+evT1MZn5ehezS5LUFPtRmpwLO6llEXEM8ProYw2wCbgE+ChwN1WB7QMej4hXR5+/C/hbRFxDVWxvjYgLgWuBtcDzwGvAlZn593b3SJKkhbMfpYVxYSe179PA1VRl9RxwE/AU8BOqa5jsBYiI3wKPA6cAZwJ/BZ4BTgPOzMxXIwJgY2ZujogvAeuA69vdHUmSpsJ+lBbA99hJLcvM+6gu4nkr1bONV1AdYrIKODEizo+IE4AfAzuoLop7OXAZ8DCwB9hQ86OXA682Pb8kSU2wH6WF8RU7qWUR8RbgQqpnGZ8C7gQeAJYC7wEuAHYBp1IdRnIt8FXgNuAO4GXgZODnox95Q0RcTfVs5Tfa2g9JkqbJfpQWxoWd1L6rqIrpF8DFwBeBvcB5wNuBzcD/gK8BN1AV20nA96jeJ7Ae+EJELBn9vI2Zubm98SVJaoT9KC2ACzupff8A7qE6bORcqsNIVlOV09PAO4CzgHcDd42+ZwWwDHgWuAU4Fnih1aklSWqW/SgtgAs7qWWZeW9EnDn68n3Ak1SFtAd4cfT3OzLzk298T0R8F9j9xumcD/j7Dc1PLElS8+xHaWFc2EndWAIcR3XmryXAz6gOObkE2Ej1bOXWA7Y/jprf18zc0PSgkiS1yH6UJhSZ2fUM0syLiOMz0zN2SZJ0APtRGp8LO0mSJEnqOa9jJ0mSJEk958JOkiRJknrOhZ0kSZIk9ZwLO0mSJEnqORd2kiRJktRz/wc9SGbG6L8hOQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,axes=plt.subplots(nrows=1,ncols=2,figsize=(15,6))\n",
    "P=np.linspace(0,1,20)\n",
    "Ent=[]\n",
    "Gini=[]\n",
    "for p in P:\n",
    "    if (p==0) or (p==1):\n",
    "        ent=0\n",
    "    else:\n",
    "        ent = -p * np.log2(p)-(1-p)*np.log2(1-p)\n",
    "    Ent.append(ent)\n",
    "    gini=1-(p**2+(1-p)**2)\n",
    "    Gini.append(gini)\n",
    "axes[0].plot(P,Ent,label='熵')\n",
    "axes[0].plot(P,Gini,label='基尼系数',linestyle='-.')\n",
    "axes[0].set_title('二分类下的基尼系数和熵')\n",
    "axes[0].set_xlabel('概率P')\n",
    "axes[0].set_ylabel('计算结果')\n",
    "axes[0].grid(True, linestyle='-.')\n",
    "axes[0].legend()\n",
    "\n",
    "axes[1].plot(P,Ent/sum(Ent),label='熵')\n",
    "axes[1].plot(P,Gini/sum(Gini),label='基尼系数',linestyle='-.')\n",
    "axes[1].set_title('二分类下归一化处理后的基尼系数和熵')\n",
    "axes[1].set_xlabel('概率P')\n",
    "axes[1].set_ylabel('计算结果')\n",
    "axes[1].grid(True, linestyle='-.')\n",
    "axes[1].legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "说明：1、针对二分类的情况，给出基尼系数和熵的具体计算代码，对比两个异质性度量指标。\n",
    "2、令第一类的概率值取0至1之间的20个不同取值，依数学定义计算不同概率值下的基尼系数和熵，并绘制曲线。\n",
    "3、对以上计算结果进行归一化处理，并绘制曲线。可见，两者差异并不明显。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
